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Finding the Fourth Proportional to 698.17, 1,046.71 and 333.13

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Solution

The fourth proportional to 698.17, 1,046.71 and 333.13 is: 499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.17 : 1,046.71 = 333.13 : x
  2. Step 2: Convert to fraction form
    698.17/1,046.71 = 333.13/x
  3. Step 3: Cross multiply
    698.17x = 1,046.71 × 333.13
  4. Step 4: Simplify right side
    698.17x = 348,683.60
  5. Step 5: Solve for x
    x = 348,683.60/698.17
  6. Step 6: Final answer
    x = 499.43

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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.