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Finding the Fourth Proportional to 706.26, 974.69 and 411.46

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Solution

The fourth proportional to 706.26, 974.69 and 411.46 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.26 : 974.69 = 411.46 : x
  2. Step 2: Convert to fraction form
    706.26/974.69 = 411.46/x
  3. Step 3: Cross multiply
    706.26x = 974.69 × 411.46
  4. Step 4: Simplify right side
    706.26x = 401,043.89
  5. Step 5: Solve for x
    x = 401,043.89/706.26
  6. Step 6: Final answer
    x = 567.85

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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.