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Finding the Fourth Proportional to 317.29, 438.12 and 252.08

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Solution

The fourth proportional to 317.29, 438.12 and 252.08 is: 348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.29 : 438.12 = 252.08 : x
  2. Step 2: Convert to fraction form
    317.29/438.12 = 252.08/x
  3. Step 3: Cross multiply
    317.29x = 438.12 × 252.08
  4. Step 4: Simplify right side
    317.29x = 110,441.29
  5. Step 5: Solve for x
    x = 110,441.29/317.29
  6. Step 6: Final answer
    x = 348.08

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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.