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Finding the Fourth Proportional to 698.41, 1,046.85 and 308.17

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Solution

The fourth proportional to 698.41, 1,046.85 and 308.17 is: 461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 1,046.85 = 308.17 : x
  2. Step 2: Convert to fraction form
    698.41/1,046.85 = 308.17/x
  3. Step 3: Cross multiply
    698.41x = 1,046.85 × 308.17
  4. Step 4: Simplify right side
    698.41x = 322,607.76
  5. Step 5: Solve for x
    x = 322,607.76/698.41
  6. Step 6: Final answer
    x = 461.92

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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.