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Finding the Fourth Proportional to 317.08, 474.71 and 234.26

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Solution

The fourth proportional to 317.08, 474.71 and 234.26 is: 350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.08 : 474.71 = 234.26 : x
  2. Step 2: Convert to fraction form
    317.08/474.71 = 234.26/x
  3. Step 3: Cross multiply
    317.08x = 474.71 × 234.26
  4. Step 4: Simplify right side
    317.08x = 111,203.13
  5. Step 5: Solve for x
    x = 111,203.13/317.08
  6. Step 6: Final answer
    x = 350.71

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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.