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Finding the Fourth Proportional to 318.26, 476.71 and 231.18

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Solution

The fourth proportional to 318.26, 476.71 and 231.18 is: 346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.26 : 476.71 = 231.18 : x
  2. Step 2: Convert to fraction form
    318.26/476.71 = 231.18/x
  3. Step 3: Cross multiply
    318.26x = 476.71 × 231.18
  4. Step 4: Simplify right side
    318.26x = 110,205.24
  5. Step 5: Solve for x
    x = 110,205.24/318.26
  6. Step 6: Final answer
    x = 346.27

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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.