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Finding the Fourth Proportional to 517.59, 714.42 and 459

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Solution

The fourth proportional to 517.59, 714.42 and 459 is: 633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 714.42 = 459 : x
  2. Step 2: Convert to fraction form
    517.59/714.42 = 459/x
  3. Step 3: Cross multiply
    517.59x = 714.42 × 459
  4. Step 4: Simplify right side
    517.59x = 327,918.78
  5. Step 5: Solve for x
    x = 327,918.78/517.59
  6. Step 6: Final answer
    x = 633.55

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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.