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Finding the Fourth Proportional to 643.60, 888.18 and 363.81

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Solution

The fourth proportional to 643.60, 888.18 and 363.81 is: 502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.60 : 888.18 = 363.81 : x
  2. Step 2: Convert to fraction form
    643.60/888.18 = 363.81/x
  3. Step 3: Cross multiply
    643.60x = 888.18 × 363.81
  4. Step 4: Simplify right side
    643.60x = 323,128.77
  5. Step 5: Solve for x
    x = 323,128.77/643.60
  6. Step 6: Final answer
    x = 502.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.