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Finding the Fourth Proportional to 506.52, 761 and 324.27

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Solution

The fourth proportional to 506.52, 761 and 324.27 is: 487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 761 = 324.27 : x
  2. Step 2: Convert to fraction form
    506.52/761 = 324.27/x
  3. Step 3: Cross multiply
    506.52x = 761 × 324.27
  4. Step 4: Simplify right side
    506.52x = 246,769.47
  5. Step 5: Solve for x
    x = 246,769.47/506.52
  6. Step 6: Final answer
    x = 487.19

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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.