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Finding the Fourth Proportional to 647.12, 892.76 and 411.14

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Solution

The fourth proportional to 647.12, 892.76 and 411.14 is: 567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.12 : 892.76 = 411.14 : x
  2. Step 2: Convert to fraction form
    647.12/892.76 = 411.14/x
  3. Step 3: Cross multiply
    647.12x = 892.76 × 411.14
  4. Step 4: Simplify right side
    647.12x = 367,049.35
  5. Step 5: Solve for x
    x = 367,049.35/647.12
  6. Step 6: Final answer
    x = 567.20

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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.