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Finding the Fourth Proportional to 643.62, 887.87 and 422.54

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Solution

The fourth proportional to 643.62, 887.87 and 422.54 is: 582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.62 : 887.87 = 422.54 : x
  2. Step 2: Convert to fraction form
    643.62/887.87 = 422.54/x
  3. Step 3: Cross multiply
    643.62x = 887.87 × 422.54
  4. Step 4: Simplify right side
    643.62x = 375,160.59
  5. Step 5: Solve for x
    x = 375,160.59/643.62
  6. Step 6: Final answer
    x = 582.89

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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.