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Finding the Fourth Proportional to 315.43, 435.32 and 226.88

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Solution

The fourth proportional to 315.43, 435.32 and 226.88 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.43 : 435.32 = 226.88 : x
  2. Step 2: Convert to fraction form
    315.43/435.32 = 226.88/x
  3. Step 3: Cross multiply
    315.43x = 435.32 × 226.88
  4. Step 4: Simplify right side
    315.43x = 98,768.30
  5. Step 5: Solve for x
    x = 98,768.30/315.43
  6. Step 6: Final answer
    x = 313.13

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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.