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Finding the Fourth Proportional to 706.19, 974.21 and 411.26

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Solution

The fourth proportional to 706.19, 974.21 and 411.26 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.19 : 974.21 = 411.26 : x
  2. Step 2: Convert to fraction form
    706.19/974.21 = 411.26/x
  3. Step 3: Cross multiply
    706.19x = 974.21 × 411.26
  4. Step 4: Simplify right side
    706.19x = 400,646.68
  5. Step 5: Solve for x
    x = 400,646.68/706.19
  6. Step 6: Final answer
    x = 567.34

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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.