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Finding the Fourth Proportional to 517.89, 714.42 and 447.93

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Solution

The fourth proportional to 517.89, 714.42 and 447.93 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 714.42 = 447.93 : x
  2. Step 2: Convert to fraction form
    517.89/714.42 = 447.93/x
  3. Step 3: Cross multiply
    517.89x = 714.42 × 447.93
  4. Step 4: Simplify right side
    517.89x = 320,010.15
  5. Step 5: Solve for x
    x = 320,010.15/517.89
  6. Step 6: Final answer
    x = 617.91

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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.