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Finding the Fourth Proportional to 524.94, 724.17 and 359.31

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Solution

The fourth proportional to 524.94, 724.17 and 359.31 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 724.17 = 359.31 : x
  2. Step 2: Convert to fraction form
    524.94/724.17 = 359.31/x
  3. Step 3: Cross multiply
    524.94x = 724.17 × 359.31
  4. Step 4: Simplify right side
    524.94x = 260,201.52
  5. Step 5: Solve for x
    x = 260,201.52/524.94
  6. Step 6: Final answer
    x = 495.68

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Why These Related Problems?

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