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Finding the Fourth Proportional to 381.30, 575.12 and 363.30

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Solution

The fourth proportional to 381.30, 575.12 and 363.30 is: 547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 575.12 = 363.30 : x
  2. Step 2: Convert to fraction form
    381.30/575.12 = 363.30/x
  3. Step 3: Cross multiply
    381.30x = 575.12 × 363.30
  4. Step 4: Simplify right side
    381.30x = 208,939.28
  5. Step 5: Solve for x
    x = 208,939.28/381.30
  6. Step 6: Final answer
    x = 547.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.