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Finding the Fourth Proportional to 363.15, 500.82 and 310.89

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Solution

The fourth proportional to 363.15, 500.82 and 310.89 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.15 : 500.82 = 310.89 : x
  2. Step 2: Convert to fraction form
    363.15/500.82 = 310.89/x
  3. Step 3: Cross multiply
    363.15x = 500.82 × 310.89
  4. Step 4: Simplify right side
    363.15x = 155,699.93
  5. Step 5: Solve for x
    x = 155,699.93/363.15
  6. Step 6: Final answer
    x = 428.75

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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.