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Finding the Fourth Proportional to 461.74, 691.87 and 392.98

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Solution

The fourth proportional to 461.74, 691.87 and 392.98 is: 588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.74 : 691.87 = 392.98 : x
  2. Step 2: Convert to fraction form
    461.74/691.87 = 392.98/x
  3. Step 3: Cross multiply
    461.74x = 691.87 × 392.98
  4. Step 4: Simplify right side
    461.74x = 271,891.07
  5. Step 5: Solve for x
    x = 271,891.07/461.74
  6. Step 6: Final answer
    x = 588.84

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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.