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Finding the Fourth Proportional to 706.10, 974.48 and 411.36

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Solution

The fourth proportional to 706.10, 974.48 and 411.36 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.10 : 974.48 = 411.36 : x
  2. Step 2: Convert to fraction form
    706.10/974.48 = 411.36/x
  3. Step 3: Cross multiply
    706.10x = 974.48 × 411.36
  4. Step 4: Simplify right side
    706.10x = 400,862.09
  5. Step 5: Solve for x
    x = 400,862.09/706.10
  6. Step 6: Final answer
    x = 567.71

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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.