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Finding the Fourth Proportional to 646.62, 892.42 and 425.64

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Solution

The fourth proportional to 646.62, 892.42 and 425.64 is: 587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.62 : 892.42 = 425.64 : x
  2. Step 2: Convert to fraction form
    646.62/892.42 = 425.64/x
  3. Step 3: Cross multiply
    646.62x = 892.42 × 425.64
  4. Step 4: Simplify right side
    646.62x = 379,849.65
  5. Step 5: Solve for x
    x = 379,849.65/646.62
  6. Step 6: Final answer
    x = 587.44

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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.