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Finding the Fourth Proportional to 539.46, 743.85 and 440.91

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Solution

The fourth proportional to 539.46, 743.85 and 440.91 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.46 : 743.85 = 440.91 : x
  2. Step 2: Convert to fraction form
    539.46/743.85 = 440.91/x
  3. Step 3: Cross multiply
    539.46x = 743.85 × 440.91
  4. Step 4: Simplify right side
    539.46x = 327,970.90
  5. Step 5: Solve for x
    x = 327,970.90/539.46
  6. Step 6: Final answer
    x = 607.96

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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.