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Finding the Fourth Proportional to 721.46, 995.41 and 469.46

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Solution

The fourth proportional to 721.46, 995.41 and 469.46 is: 647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.46 : 995.41 = 469.46 : x
  2. Step 2: Convert to fraction form
    721.46/995.41 = 469.46/x
  3. Step 3: Cross multiply
    721.46x = 995.41 × 469.46
  4. Step 4: Simplify right side
    721.46x = 467,305.18
  5. Step 5: Solve for x
    x = 467,305.18/721.46
  6. Step 6: Final answer
    x = 647.72

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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.