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Finding the Fourth Proportional to 539.55, 742.86 and 456.48

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Solution

The fourth proportional to 539.55, 742.86 and 456.48 is: 628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.55 : 742.86 = 456.48 : x
  2. Step 2: Convert to fraction form
    539.55/742.86 = 456.48/x
  3. Step 3: Cross multiply
    539.55x = 742.86 × 456.48
  4. Step 4: Simplify right side
    539.55x = 339,100.73
  5. Step 5: Solve for x
    x = 339,100.73/539.55
  6. Step 6: Final answer
    x = 628.49

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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.