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Finding the Fourth Proportional to 338.31, 508.01 and 234.23

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Solution

The fourth proportional to 338.31, 508.01 and 234.23 is: 351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 508.01 = 234.23 : x
  2. Step 2: Convert to fraction form
    338.31/508.01 = 234.23/x
  3. Step 3: Cross multiply
    338.31x = 508.01 × 234.23
  4. Step 4: Simplify right side
    338.31x = 118,987.47
  5. Step 5: Solve for x
    x = 118,987.47/338.31
  6. Step 6: Final answer
    x = 351.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.