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Finding the Fourth Proportional to 646.46, 892.26 and 425.43

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Solution

The fourth proportional to 646.46, 892.26 and 425.43 is: 587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.46 : 892.26 = 425.43 : x
  2. Step 2: Convert to fraction form
    646.46/892.26 = 425.43/x
  3. Step 3: Cross multiply
    646.46x = 892.26 × 425.43
  4. Step 4: Simplify right side
    646.46x = 379,597.52
  5. Step 5: Solve for x
    x = 379,597.52/646.46
  6. Step 6: Final answer
    x = 587.19

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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.