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Finding the Fourth Proportional to 524.47, 724.04 and 358.75

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Solution

The fourth proportional to 524.47, 724.04 and 358.75 is: 495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.47 : 724.04 = 358.75 : x
  2. Step 2: Convert to fraction form
    524.47/724.04 = 358.75/x
  3. Step 3: Cross multiply
    524.47x = 724.04 × 358.75
  4. Step 4: Simplify right side
    524.47x = 259,747.56
  5. Step 5: Solve for x
    x = 259,747.56/524.47
  6. Step 6: Final answer
    x = 495.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.