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Finding the Fourth Proportional to 392.32, 587.85 and 284.17

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Solution

The fourth proportional to 392.32, 587.85 and 284.17 is: 425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.32 : 587.85 = 284.17 : x
  2. Step 2: Convert to fraction form
    392.32/587.85 = 284.17/x
  3. Step 3: Cross multiply
    392.32x = 587.85 × 284.17
  4. Step 4: Simplify right side
    392.32x = 167,049.33
  5. Step 5: Solve for x
    x = 167,049.33/392.32
  6. Step 6: Final answer
    x = 425.80

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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.