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Finding the Fourth Proportional to 515.97, 712.31 and 397.68

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Solution

The fourth proportional to 515.97, 712.31 and 397.68 is: 549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 712.31 = 397.68 : x
  2. Step 2: Convert to fraction form
    515.97/712.31 = 397.68/x
  3. Step 3: Cross multiply
    515.97x = 712.31 × 397.68
  4. Step 4: Simplify right side
    515.97x = 283,276.71
  5. Step 5: Solve for x
    x = 283,276.71/515.97
  6. Step 6: Final answer
    x = 549.02

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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.