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Finding the Fourth Proportional to 642.64, 887.22 and 421.97

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Solution

The fourth proportional to 642.64, 887.22 and 421.97 is: 582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 887.22 = 421.97 : x
  2. Step 2: Convert to fraction form
    642.64/887.22 = 421.97/x
  3. Step 3: Cross multiply
    642.64x = 887.22 × 421.97
  4. Step 4: Simplify right side
    642.64x = 374,383.55
  5. Step 5: Solve for x
    x = 374,383.55/642.64
  6. Step 6: Final answer
    x = 582.57

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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.