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Finding the Fourth Proportional to 721.52, 995.64 and 406.72

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Solution

The fourth proportional to 721.52, 995.64 and 406.72 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.52 : 995.64 = 406.72 : x
  2. Step 2: Convert to fraction form
    721.52/995.64 = 406.72/x
  3. Step 3: Cross multiply
    721.52x = 995.64 × 406.72
  4. Step 4: Simplify right side
    721.52x = 404,946.70
  5. Step 5: Solve for x
    x = 404,946.70/721.52
  6. Step 6: Final answer
    x = 561.24

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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.