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Finding the Fourth Proportional to 723.78, 998.32 and 461.68

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Solution

The fourth proportional to 723.78, 998.32 and 461.68 is: 636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.78 : 998.32 = 461.68 : x
  2. Step 2: Convert to fraction form
    723.78/998.32 = 461.68/x
  3. Step 3: Cross multiply
    723.78x = 998.32 × 461.68
  4. Step 4: Simplify right side
    723.78x = 460,904.38
  5. Step 5: Solve for x
    x = 460,904.38/723.78
  6. Step 6: Final answer
    x = 636.80

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Why These Related Problems?

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