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Finding the Fourth Proportional to 723.60, 998.37 and 461.40

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Solution

The fourth proportional to 723.60, 998.37 and 461.40 is: 636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.60 : 998.37 = 461.40 : x
  2. Step 2: Convert to fraction form
    723.60/998.37 = 461.40/x
  3. Step 3: Cross multiply
    723.60x = 998.37 × 461.40
  4. Step 4: Simplify right side
    723.60x = 460,647.92
  5. Step 5: Solve for x
    x = 460,647.92/723.60
  6. Step 6: Final answer
    x = 636.61

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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.