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Finding the Fourth Proportional to 516.89, 714.24 and 392.33

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Solution

The fourth proportional to 516.89, 714.24 and 392.33 is: 542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 714.24 = 392.33 : x
  2. Step 2: Convert to fraction form
    516.89/714.24 = 392.33/x
  3. Step 3: Cross multiply
    516.89x = 714.24 × 392.33
  4. Step 4: Simplify right side
    516.89x = 280,214.21
  5. Step 5: Solve for x
    x = 280,214.21/516.89
  6. Step 6: Final answer
    x = 542.12

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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.