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Finding the Fourth Proportional to 317.28, 476.14 and 195.17

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Solution

The fourth proportional to 317.28, 476.14 and 195.17 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 476.14 = 195.17 : x
  2. Step 2: Convert to fraction form
    317.28/476.14 = 195.17/x
  3. Step 3: Cross multiply
    317.28x = 476.14 × 195.17
  4. Step 4: Simplify right side
    317.28x = 92,928.24
  5. Step 5: Solve for x
    x = 92,928.24/317.28
  6. Step 6: Final answer
    x = 292.89

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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.