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Finding the Fourth Proportional to 392.42, 587.62 and 311.02

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Solution

The fourth proportional to 392.42, 587.62 and 311.02 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 587.62 = 311.02 : x
  2. Step 2: Convert to fraction form
    392.42/587.62 = 311.02/x
  3. Step 3: Cross multiply
    392.42x = 587.62 × 311.02
  4. Step 4: Simplify right side
    392.42x = 182,761.57
  5. Step 5: Solve for x
    x = 182,761.57/392.42
  6. Step 6: Final answer
    x = 465.73

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