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Finding the Fourth Proportional to 643.58, 888.26 and 363.81

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Solution

The fourth proportional to 643.58, 888.26 and 363.81 is: 502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.58 : 888.26 = 363.81 : x
  2. Step 2: Convert to fraction form
    643.58/888.26 = 363.81/x
  3. Step 3: Cross multiply
    643.58x = 888.26 × 363.81
  4. Step 4: Simplify right side
    643.58x = 323,161.00
  5. Step 5: Solve for x
    x = 323,161.00/643.58
  6. Step 6: Final answer
    x = 502.13

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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.