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Finding the Fourth Proportional to 642.91, 887.25 and 363.23

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Solution

The fourth proportional to 642.91, 887.25 and 363.23 is: 501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.91 : 887.25 = 363.23 : x
  2. Step 2: Convert to fraction form
    642.91/887.25 = 363.23/x
  3. Step 3: Cross multiply
    642.91x = 887.25 × 363.23
  4. Step 4: Simplify right side
    642.91x = 322,274.00
  5. Step 5: Solve for x
    x = 322,274.00/642.91
  6. Step 6: Final answer
    x = 501.28

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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.