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Finding the Fourth Proportional to 541.80, 747.14 and 320.76

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Solution

The fourth proportional to 541.80, 747.14 and 320.76 is: 442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.80 : 747.14 = 320.76 : x
  2. Step 2: Convert to fraction form
    541.80/747.14 = 320.76/x
  3. Step 3: Cross multiply
    541.80x = 747.14 × 320.76
  4. Step 4: Simplify right side
    541.80x = 239,652.63
  5. Step 5: Solve for x
    x = 239,652.63/541.80
  6. Step 6: Final answer
    x = 442.33

Related Problems

Find fourth proportional to 270.90, 373.57 and 160.38
Half scale
Find fourth proportional to 1,083.60, 1,494.28 and 641.52
Double scale
Find fourth proportional to 542.80, 748.52 and 321.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.