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Finding the Fourth Proportional to 643.46, 887.97 and 363.71

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Solution

The fourth proportional to 643.46, 887.97 and 363.71 is: 501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.46 : 887.97 = 363.71 : x
  2. Step 2: Convert to fraction form
    643.46/887.97 = 363.71/x
  3. Step 3: Cross multiply
    643.46x = 887.97 × 363.71
  4. Step 4: Simplify right side
    643.46x = 322,965.79
  5. Step 5: Solve for x
    x = 322,965.79/643.46
  6. Step 6: Final answer
    x = 501.92

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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.