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Finding the Fourth Proportional to 338.96, 508.23 and 230.42

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Solution

The fourth proportional to 338.96, 508.23 and 230.42 is: 345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 508.23 = 230.42 : x
  2. Step 2: Convert to fraction form
    338.96/508.23 = 230.42/x
  3. Step 3: Cross multiply
    338.96x = 508.23 × 230.42
  4. Step 4: Simplify right side
    338.96x = 117,103.82
  5. Step 5: Solve for x
    x = 117,103.82/338.96
  6. Step 6: Final answer
    x = 345.48

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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.