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Finding the Fourth Proportional to 525.32, 724.24 and 440.18

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Solution

The fourth proportional to 525.32, 724.24 and 440.18 is: 606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.32 : 724.24 = 440.18 : x
  2. Step 2: Convert to fraction form
    525.32/724.24 = 440.18/x
  3. Step 3: Cross multiply
    525.32x = 724.24 × 440.18
  4. Step 4: Simplify right side
    525.32x = 318,799.68
  5. Step 5: Solve for x
    x = 318,799.68/525.32
  6. Step 6: Final answer
    x = 606.87

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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.