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Finding the Fourth Proportional to 502.81, 752.32 and 324.75

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Solution

The fourth proportional to 502.81, 752.32 and 324.75 is: 485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.81 : 752.32 = 324.75 : x
  2. Step 2: Convert to fraction form
    502.81/752.32 = 324.75/x
  3. Step 3: Cross multiply
    502.81x = 752.32 × 324.75
  4. Step 4: Simplify right side
    502.81x = 244,315.92
  5. Step 5: Solve for x
    x = 244,315.92/502.81
  6. Step 6: Final answer
    x = 485.90

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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.