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Finding the Fourth Proportional to 723.35, 998.02 and 461.15

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Solution

The fourth proportional to 723.35, 998.02 and 461.15 is: 636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.35 : 998.02 = 461.15 : x
  2. Step 2: Convert to fraction form
    723.35/998.02 = 461.15/x
  3. Step 3: Cross multiply
    723.35x = 998.02 × 461.15
  4. Step 4: Simplify right side
    723.35x = 460,236.92
  5. Step 5: Solve for x
    x = 460,236.92/723.35
  6. Step 6: Final answer
    x = 636.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.