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Finding the Fourth Proportional to 706.09, 974.41 and 411.56

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Solution

The fourth proportional to 706.09, 974.41 and 411.56 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.09 : 974.41 = 411.56 : x
  2. Step 2: Convert to fraction form
    706.09/974.41 = 411.56/x
  3. Step 3: Cross multiply
    706.09x = 974.41 × 411.56
  4. Step 4: Simplify right side
    706.09x = 401,028.18
  5. Step 5: Solve for x
    x = 401,028.18/706.09
  6. Step 6: Final answer
    x = 567.96

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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.