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Finding the Fourth Proportional to 392.76, 542.22 and 262.35

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Solution

The fourth proportional to 392.76, 542.22 and 262.35 is: 362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.76 : 542.22 = 262.35 : x
  2. Step 2: Convert to fraction form
    392.76/542.22 = 262.35/x
  3. Step 3: Cross multiply
    392.76x = 542.22 × 262.35
  4. Step 4: Simplify right side
    392.76x = 142,251.42
  5. Step 5: Solve for x
    x = 142,251.42/392.76
  6. Step 6: Final answer
    x = 362.18

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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.