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Finding the Fourth Proportional to 647.43, 892.97 and 411.17

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Solution

The fourth proportional to 647.43, 892.97 and 411.17 is: 567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.43 : 892.97 = 411.17 : x
  2. Step 2: Convert to fraction form
    647.43/892.97 = 411.17/x
  3. Step 3: Cross multiply
    647.43x = 892.97 × 411.17
  4. Step 4: Simplify right side
    647.43x = 367,162.47
  5. Step 5: Solve for x
    x = 367,162.47/647.43
  6. Step 6: Final answer
    x = 567.11

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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.