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Finding the Fourth Proportional to 542.76, 749.02 and 309.88

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Solution

The fourth proportional to 542.76, 749.02 and 309.88 is: 427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 749.02 = 309.88 : x
  2. Step 2: Convert to fraction form
    542.76/749.02 = 309.88/x
  3. Step 3: Cross multiply
    542.76x = 749.02 × 309.88
  4. Step 4: Simplify right side
    542.76x = 232,106.32
  5. Step 5: Solve for x
    x = 232,106.32/542.76
  6. Step 6: Final answer
    x = 427.64

Related Problems

Find fourth proportional to 271.38, 374.51 and 154.94
Half scale
Find fourth proportional to 1,085.52, 1,498.04 and 619.76
Double scale
Find fourth proportional to 543.76, 750.40 and 310.88
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.