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Finding the Fourth Proportional to 392.81, 542.07 and 224.75

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Solution

The fourth proportional to 392.81, 542.07 and 224.75 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.81 : 542.07 = 224.75 : x
  2. Step 2: Convert to fraction form
    392.81/542.07 = 224.75/x
  3. Step 3: Cross multiply
    392.81x = 542.07 × 224.75
  4. Step 4: Simplify right side
    392.81x = 121,827.52
  5. Step 5: Solve for x
    x = 121,827.52/392.81
  6. Step 6: Final answer
    x = 310.15

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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.