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Finding the Fourth Proportional to 721.46, 995.58 and 410.96

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Solution

The fourth proportional to 721.46, 995.58 and 410.96 is: 567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.46 : 995.58 = 410.96 : x
  2. Step 2: Convert to fraction form
    721.46/995.58 = 410.96/x
  3. Step 3: Cross multiply
    721.46x = 995.58 × 410.96
  4. Step 4: Simplify right side
    721.46x = 409,143.56
  5. Step 5: Solve for x
    x = 409,143.56/721.46
  6. Step 6: Final answer
    x = 567.10

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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.