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Finding the Fourth Proportional to 721.64, 995.92 and 459.60

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Solution

The fourth proportional to 721.64, 995.92 and 459.60 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.64 : 995.92 = 459.60 : x
  2. Step 2: Convert to fraction form
    721.64/995.92 = 459.60/x
  3. Step 3: Cross multiply
    721.64x = 995.92 × 459.60
  4. Step 4: Simplify right side
    721.64x = 457,724.83
  5. Step 5: Solve for x
    x = 457,724.83/721.64
  6. Step 6: Final answer
    x = 634.28

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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.