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Finding the Fourth Proportional to 705.97, 974.31 and 411.24

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Solution

The fourth proportional to 705.97, 974.31 and 411.24 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 974.31 = 411.24 : x
  2. Step 2: Convert to fraction form
    705.97/974.31 = 411.24/x
  3. Step 3: Cross multiply
    705.97x = 974.31 × 411.24
  4. Step 4: Simplify right side
    705.97x = 400,675.24
  5. Step 5: Solve for x
    x = 400,675.24/705.97
  6. Step 6: Final answer
    x = 567.55

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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.