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Finding the Fourth Proportional to 646.08, 892.04 and 425.48

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Solution

The fourth proportional to 646.08, 892.04 and 425.48 is: 587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.08 : 892.04 = 425.48 : x
  2. Step 2: Convert to fraction form
    646.08/892.04 = 425.48/x
  3. Step 3: Cross multiply
    646.08x = 892.04 × 425.48
  4. Step 4: Simplify right side
    646.08x = 379,542.30
  5. Step 5: Solve for x
    x = 379,542.30/646.08
  6. Step 6: Final answer
    x = 587.46

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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.