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Finding the Fourth Proportional to 363.16, 500.75 and 270.08

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Solution

The fourth proportional to 363.16, 500.75 and 270.08 is: 372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.16 : 500.75 = 270.08 : x
  2. Step 2: Convert to fraction form
    363.16/500.75 = 270.08/x
  3. Step 3: Cross multiply
    363.16x = 500.75 × 270.08
  4. Step 4: Simplify right side
    363.16x = 135,240.06
  5. Step 5: Solve for x
    x = 135,240.06/363.16
  6. Step 6: Final answer
    x = 372.40

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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.