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Finding the Fourth Proportional to 646.12, 892.10 and 397.52

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Solution

The fourth proportional to 646.12, 892.10 and 397.52 is: 548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 892.10 = 397.52 : x
  2. Step 2: Convert to fraction form
    646.12/892.10 = 397.52/x
  3. Step 3: Cross multiply
    646.12x = 892.10 × 397.52
  4. Step 4: Simplify right side
    646.12x = 354,624.13
  5. Step 5: Solve for x
    x = 354,624.13/646.12
  6. Step 6: Final answer
    x = 548.85

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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.