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Finding the Fourth Proportional to 392.76, 542.10 and 252.84

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Solution

The fourth proportional to 392.76, 542.10 and 252.84 is: 348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.76 : 542.10 = 252.84 : x
  2. Step 2: Convert to fraction form
    392.76/542.10 = 252.84/x
  3. Step 3: Cross multiply
    392.76x = 542.10 × 252.84
  4. Step 4: Simplify right side
    392.76x = 137,064.56
  5. Step 5: Solve for x
    x = 137,064.56/392.76
  6. Step 6: Final answer
    x = 348.98

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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.