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Finding the Fourth Proportional to 646.32, 892.42 and 397.74

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Solution

The fourth proportional to 646.32, 892.42 and 397.74 is: 549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.32 : 892.42 = 397.74 : x
  2. Step 2: Convert to fraction form
    646.32/892.42 = 397.74/x
  3. Step 3: Cross multiply
    646.32x = 892.42 × 397.74
  4. Step 4: Simplify right side
    646.32x = 354,951.13
  5. Step 5: Solve for x
    x = 354,951.13/646.32
  6. Step 6: Final answer
    x = 549.19

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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.