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Finding the Fourth Proportional to 392.77, 542.04 and 235.43

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Solution

The fourth proportional to 392.77, 542.04 and 235.43 is: 324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.77 : 542.04 = 235.43 : x
  2. Step 2: Convert to fraction form
    392.77/542.04 = 235.43/x
  3. Step 3: Cross multiply
    392.77x = 542.04 × 235.43
  4. Step 4: Simplify right side
    392.77x = 127,613.26
  5. Step 5: Solve for x
    x = 127,613.26/392.77
  6. Step 6: Final answer
    x = 324.90

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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.