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Finding the Fourth Proportional to 338.45, 466.76 and 263.78

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Solution

The fourth proportional to 338.45, 466.76 and 263.78 is: 363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.45 : 466.76 = 263.78 : x
  2. Step 2: Convert to fraction form
    338.45/466.76 = 263.78/x
  3. Step 3: Cross multiply
    338.45x = 466.76 × 263.78
  4. Step 4: Simplify right side
    338.45x = 123,123.78
  5. Step 5: Solve for x
    x = 123,123.78/338.45
  6. Step 6: Final answer
    x = 363.78

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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.