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Finding the Fourth Proportional to 392.80, 542.16 and 237.60

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Solution

The fourth proportional to 392.80, 542.16 and 237.60 is: 327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 542.16 = 237.60 : x
  2. Step 2: Convert to fraction form
    392.80/542.16 = 237.60/x
  3. Step 3: Cross multiply
    392.80x = 542.16 × 237.60
  4. Step 4: Simplify right side
    392.80x = 128,817.22
  5. Step 5: Solve for x
    x = 128,817.22/392.80
  6. Step 6: Final answer
    x = 327.95

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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.