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Finding the Fourth Proportional to 614.76, 848.22 and 381.72

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Solution

The fourth proportional to 614.76, 848.22 and 381.72 is: 526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.76 : 848.22 = 381.72 : x
  2. Step 2: Convert to fraction form
    614.76/848.22 = 381.72/x
  3. Step 3: Cross multiply
    614.76x = 848.22 × 381.72
  4. Step 4: Simplify right side
    614.76x = 323,782.54
  5. Step 5: Solve for x
    x = 323,782.54/614.76
  6. Step 6: Final answer
    x = 526.68

Related Problems

Find fourth proportional to 307.38, 424.11 and 190.86
Half scale
Find fourth proportional to 1,229.52, 1,696.44 and 763.44
Double scale
Find fourth proportional to 615.76, 849.60 and 382.72
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.