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Finding the Fourth Proportional to 524.57, 723.92 and 328.14

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Solution

The fourth proportional to 524.57, 723.92 and 328.14 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 723.92 = 328.14 : x
  2. Step 2: Convert to fraction form
    524.57/723.92 = 328.14/x
  3. Step 3: Cross multiply
    524.57x = 723.92 × 328.14
  4. Step 4: Simplify right side
    524.57x = 237,545.47
  5. Step 5: Solve for x
    x = 237,545.47/524.57
  6. Step 6: Final answer
    x = 452.84

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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.