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Finding the Fourth Proportional to 801.24, 1,201.20 and 339.36

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Solution

The fourth proportional to 801.24, 1,201.20 and 339.36 is: 508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.24 : 1,201.20 = 339.36 : x
  2. Step 2: Convert to fraction form
    801.24/1,201.20 = 339.36/x
  3. Step 3: Cross multiply
    801.24x = 1,201.20 × 339.36
  4. Step 4: Simplify right side
    801.24x = 407,639.23
  5. Step 5: Solve for x
    x = 407,639.23/801.24
  6. Step 6: Final answer
    x = 508.76

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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.