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Finding the Fourth Proportional to 539.34, 742.62 and 406.75

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Solution

The fourth proportional to 539.34, 742.62 and 406.75 is: 560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.34 : 742.62 = 406.75 : x
  2. Step 2: Convert to fraction form
    539.34/742.62 = 406.75/x
  3. Step 3: Cross multiply
    539.34x = 742.62 × 406.75
  4. Step 4: Simplify right side
    539.34x = 302,060.69
  5. Step 5: Solve for x
    x = 302,060.69/539.34
  6. Step 6: Final answer
    x = 560.06

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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.