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Finding the Fourth Proportional to 392.11, 587.61 and 268.60

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Solution

The fourth proportional to 392.11, 587.61 and 268.60 is: 402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.11 : 587.61 = 268.60 : x
  2. Step 2: Convert to fraction form
    392.11/587.61 = 268.60/x
  3. Step 3: Cross multiply
    392.11x = 587.61 × 268.60
  4. Step 4: Simplify right side
    392.11x = 157,832.05
  5. Step 5: Solve for x
    x = 157,832.05/392.11
  6. Step 6: Final answer
    x = 402.52

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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.