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Finding the Fourth Proportional to 392.22, 587.76 and 237.78

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Solution

The fourth proportional to 392.22, 587.76 and 237.78 is: 356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.22 : 587.76 = 237.78 : x
  2. Step 2: Convert to fraction form
    392.22/587.76 = 237.78/x
  3. Step 3: Cross multiply
    392.22x = 587.76 × 237.78
  4. Step 4: Simplify right side
    392.22x = 139,757.57
  5. Step 5: Solve for x
    x = 139,757.57/392.22
  6. Step 6: Final answer
    x = 356.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.