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Finding the Fourth Proportional to 643.02, 887.34 and 363.24

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Solution

The fourth proportional to 643.02, 887.34 and 363.24 is: 501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 887.34 = 363.24 : x
  2. Step 2: Convert to fraction form
    643.02/887.34 = 363.24/x
  3. Step 3: Cross multiply
    643.02x = 887.34 × 363.24
  4. Step 4: Simplify right side
    643.02x = 322,317.38
  5. Step 5: Solve for x
    x = 322,317.38/643.02
  6. Step 6: Final answer
    x = 501.26

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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.