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Finding the Fourth Proportional to 460.84, 691.26 and 391.88

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Solution

The fourth proportional to 460.84, 691.26 and 391.88 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.84 : 691.26 = 391.88 : x
  2. Step 2: Convert to fraction form
    460.84/691.26 = 391.88/x
  3. Step 3: Cross multiply
    460.84x = 691.26 × 391.88
  4. Step 4: Simplify right side
    460.84x = 270,890.97
  5. Step 5: Solve for x
    x = 270,890.97/460.84
  6. Step 6: Final answer
    x = 587.82

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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.