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Finding the Fourth Proportional to 392.80, 542.12 and 261.76

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Solution

The fourth proportional to 392.80, 542.12 and 261.76 is: 361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 542.12 = 261.76 : x
  2. Step 2: Convert to fraction form
    392.80/542.12 = 261.76/x
  3. Step 3: Cross multiply
    392.80x = 542.12 × 261.76
  4. Step 4: Simplify right side
    392.80x = 141,905.33
  5. Step 5: Solve for x
    x = 141,905.33/392.80
  6. Step 6: Final answer
    x = 361.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.