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Finding the Fourth Proportional to 721.52, 995.72 and 410.96

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Solution

The fourth proportional to 721.52, 995.72 and 410.96 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.52 : 995.72 = 410.96 : x
  2. Step 2: Convert to fraction form
    721.52/995.72 = 410.96/x
  3. Step 3: Cross multiply
    721.52x = 995.72 × 410.96
  4. Step 4: Simplify right side
    721.52x = 409,201.09
  5. Step 5: Solve for x
    x = 409,201.09/721.52
  6. Step 6: Final answer
    x = 567.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.