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Finding the Fourth Proportional to 801.36, 1,201.51 and 338.89

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Solution

The fourth proportional to 801.36, 1,201.51 and 338.89 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,201.51 = 338.89 : x
  2. Step 2: Convert to fraction form
    801.36/1,201.51 = 338.89/x
  3. Step 3: Cross multiply
    801.36x = 1,201.51 × 338.89
  4. Step 4: Simplify right side
    801.36x = 407,179.72
  5. Step 5: Solve for x
    x = 407,179.72/801.36
  6. Step 6: Final answer
    x = 508.11

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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.