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Finding the Fourth Proportional to 317.28, 438.96 and 302.88

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Solution

The fourth proportional to 317.28, 438.96 and 302.88 is: 419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 438.96 = 302.88 : x
  2. Step 2: Convert to fraction form
    317.28/438.96 = 302.88/x
  3. Step 3: Cross multiply
    317.28x = 438.96 × 302.88
  4. Step 4: Simplify right side
    317.28x = 132,952.20
  5. Step 5: Solve for x
    x = 132,952.20/317.28
  6. Step 6: Final answer
    x = 419.04

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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.