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Finding the Fourth Proportional to 706.02, 974.22 and 411.18

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Solution

The fourth proportional to 706.02, 974.22 and 411.18 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 974.22 = 411.18 : x
  2. Step 2: Convert to fraction form
    706.02/974.22 = 411.18/x
  3. Step 3: Cross multiply
    706.02x = 974.22 × 411.18
  4. Step 4: Simplify right side
    706.02x = 400,579.78
  5. Step 5: Solve for x
    x = 400,579.78/706.02
  6. Step 6: Final answer
    x = 567.38

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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.