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Finding the Fourth Proportional to 524.87, 724.89 and 408.25

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Solution

The fourth proportional to 524.87, 724.89 and 408.25 is: 563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.87 : 724.89 = 408.25 : x
  2. Step 2: Convert to fraction form
    524.87/724.89 = 408.25/x
  3. Step 3: Cross multiply
    524.87x = 724.89 × 408.25
  4. Step 4: Simplify right side
    524.87x = 295,933.55
  5. Step 5: Solve for x
    x = 295,933.55/524.87
  6. Step 6: Final answer
    x = 563.82

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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.