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Finding the Fourth Proportional to 517.51, 715.11 and 392.95

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Solution

The fourth proportional to 517.51, 715.11 and 392.95 is: 542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.51 : 715.11 = 392.95 : x
  2. Step 2: Convert to fraction form
    517.51/715.11 = 392.95/x
  3. Step 3: Cross multiply
    517.51x = 715.11 × 392.95
  4. Step 4: Simplify right side
    517.51x = 281,002.47
  5. Step 5: Solve for x
    x = 281,002.47/517.51
  6. Step 6: Final answer
    x = 542.99

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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.