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Finding the Fourth Proportional to 721.08, 995.46 and 459.57

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Solution

The fourth proportional to 721.08, 995.46 and 459.57 is: 634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.08 : 995.46 = 459.57 : x
  2. Step 2: Convert to fraction form
    721.08/995.46 = 459.57/x
  3. Step 3: Cross multiply
    721.08x = 995.46 × 459.57
  4. Step 4: Simplify right side
    721.08x = 457,483.55
  5. Step 5: Solve for x
    x = 457,483.55/721.08
  6. Step 6: Final answer
    x = 634.44

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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.