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Finding the Fourth Proportional to 705.96, 974.20 and 411.28

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Solution

The fourth proportional to 705.96, 974.20 and 411.28 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 974.20 = 411.28 : x
  2. Step 2: Convert to fraction form
    705.96/974.20 = 411.28/x
  3. Step 3: Cross multiply
    705.96x = 974.20 × 411.28
  4. Step 4: Simplify right side
    705.96x = 400,668.98
  5. Step 5: Solve for x
    x = 400,668.98/705.96
  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.