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Finding the Fourth Proportional to 502.46, 752.66 and 372.60

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Solution

The fourth proportional to 502.46, 752.66 and 372.60 is: 558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.46 : 752.66 = 372.60 : x
  2. Step 2: Convert to fraction form
    502.46/752.66 = 372.60/x
  3. Step 3: Cross multiply
    502.46x = 752.66 × 372.60
  4. Step 4: Simplify right side
    502.46x = 280,439.25
  5. Step 5: Solve for x
    x = 280,439.25/502.46
  6. Step 6: Final answer
    x = 558.14

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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.