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Finding the Fourth Proportional to 327.52, 488.39 and 282.16

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Solution

The fourth proportional to 327.52, 488.39 and 282.16 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 488.39 = 282.16 : x
  2. Step 2: Convert to fraction form
    327.52/488.39 = 282.16/x
  3. Step 3: Cross multiply
    327.52x = 488.39 × 282.16
  4. Step 4: Simplify right side
    327.52x = 137,804.12
  5. Step 5: Solve for x
    x = 137,804.12/327.52
  6. Step 6: Final answer
    x = 420.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.