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Finding the Fourth Proportional to 395.10, 591.89 and 230.15

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Solution

The fourth proportional to 395.10, 591.89 and 230.15 is: 344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.10 : 591.89 = 230.15 : x
  2. Step 2: Convert to fraction form
    395.10/591.89 = 230.15/x
  3. Step 3: Cross multiply
    395.10x = 591.89 × 230.15
  4. Step 4: Simplify right side
    395.10x = 136,223.81
  5. Step 5: Solve for x
    x = 136,223.81/395.10
  6. Step 6: Final answer
    x = 344.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.