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Finding the Fourth Proportional to 517.28, 713.54 and 392.98

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Solution

The fourth proportional to 517.28, 713.54 and 392.98 is: 542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.28 : 713.54 = 392.98 : x
  2. Step 2: Convert to fraction form
    517.28/713.54 = 392.98/x
  3. Step 3: Cross multiply
    517.28x = 713.54 × 392.98
  4. Step 4: Simplify right side
    517.28x = 280,406.95
  5. Step 5: Solve for x
    x = 280,406.95/517.28
  6. Step 6: Final answer
    x = 542.08

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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.