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Finding the Fourth Proportional to 502.26, 752.10 and 372.08

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Solution

The fourth proportional to 502.26, 752.10 and 372.08 is: 557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.26 : 752.10 = 372.08 : x
  2. Step 2: Convert to fraction form
    502.26/752.10 = 372.08/x
  3. Step 3: Cross multiply
    502.26x = 752.10 × 372.08
  4. Step 4: Simplify right side
    502.26x = 279,841.37
  5. Step 5: Solve for x
    x = 279,841.37/502.26
  6. Step 6: Final answer
    x = 557.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.