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Finding the Fourth Proportional to 525.53, 724.98 and 408.29

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Solution

The fourth proportional to 525.53, 724.98 and 408.29 is: 563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.53 : 724.98 = 408.29 : x
  2. Step 2: Convert to fraction form
    525.53/724.98 = 408.29/x
  3. Step 3: Cross multiply
    525.53x = 724.98 × 408.29
  4. Step 4: Simplify right side
    525.53x = 295,996.42
  5. Step 5: Solve for x
    x = 295,996.42/525.53
  6. Step 6: Final answer
    x = 563.23

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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.