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Finding the Fourth Proportional to 643.08, 887.04 and 422.34

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Solution

The fourth proportional to 643.08, 887.04 and 422.34 is: 582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.08 : 887.04 = 422.34 : x
  2. Step 2: Convert to fraction form
    643.08/887.04 = 422.34/x
  3. Step 3: Cross multiply
    643.08x = 887.04 × 422.34
  4. Step 4: Simplify right side
    643.08x = 374,632.47
  5. Step 5: Solve for x
    x = 374,632.47/643.08
  6. Step 6: Final answer
    x = 582.56

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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.