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Finding the Fourth Proportional to 392.66, 542.12 and 252.83

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Solution

The fourth proportional to 392.66, 542.12 and 252.83 is: 349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.66 : 542.12 = 252.83 : x
  2. Step 2: Convert to fraction form
    392.66/542.12 = 252.83/x
  3. Step 3: Cross multiply
    392.66x = 542.12 × 252.83
  4. Step 4: Simplify right side
    392.66x = 137,064.20
  5. Step 5: Solve for x
    x = 137,064.20/392.66
  6. Step 6: Final answer
    x = 349.07

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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.