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Finding the Fourth Proportional to 502.48, 752.00 and 317.30

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Solution

The fourth proportional to 502.48, 752.00 and 317.30 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 752.00 = 317.30 : x
  2. Step 2: Convert to fraction form
    502.48/752.00 = 317.30/x
  3. Step 3: Cross multiply
    502.48x = 752.00 × 317.30
  4. Step 4: Simplify right side
    502.48x = 238,606.13
  5. Step 5: Solve for x
    x = 238,606.13/502.48
  6. Step 6: Final answer
    x = 474.86

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