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Finding the Fourth Proportional to 723.66, 998.28 and 461.40

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Solution

The fourth proportional to 723.66, 998.28 and 461.40 is: 636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.66 : 998.28 = 461.40 : x
  2. Step 2: Convert to fraction form
    723.66/998.28 = 461.40/x
  3. Step 3: Cross multiply
    723.66x = 998.28 × 461.40
  4. Step 4: Simplify right side
    723.66x = 460,606.39
  5. Step 5: Solve for x
    x = 460,606.39/723.66
  6. Step 6: Final answer
    x = 636.50

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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.