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Finding the Fourth Proportional to 338.54, 464.14 and 332.39

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Solution

The fourth proportional to 338.54, 464.14 and 332.39 is: 455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.54 : 464.14 = 332.39 : x
  2. Step 2: Convert to fraction form
    338.54/464.14 = 332.39/x
  3. Step 3: Cross multiply
    338.54x = 464.14 × 332.39
  4. Step 4: Simplify right side
    338.54x = 154,275.49
  5. Step 5: Solve for x
    x = 154,275.49/338.54
  6. Step 6: Final answer
    x = 455.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.