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Finding the Fourth Proportional to 353.97, 488.55 and 338.40

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Solution

The fourth proportional to 353.97, 488.55 and 338.40 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.97 : 488.55 = 338.40 : x
  2. Step 2: Convert to fraction form
    353.97/488.55 = 338.40/x
  3. Step 3: Cross multiply
    353.97x = 488.55 × 338.40
  4. Step 4: Simplify right side
    353.97x = 165,325.32
  5. Step 5: Solve for x
    x = 165,325.32/353.97
  6. Step 6: Final answer
    x = 467.06

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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.