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Finding the Fourth Proportional to 387.12, 580.32 and 216

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Solution

The fourth proportional to 387.12, 580.32 and 216 is: 323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.12 : 580.32 = 216 : x
  2. Step 2: Convert to fraction form
    387.12/580.32 = 216/x
  3. Step 3: Cross multiply
    387.12x = 580.32 × 216
  4. Step 4: Simplify right side
    387.12x = 125,349.12
  5. Step 5: Solve for x
    x = 125,349.12/387.12
  6. Step 6: Final answer
    x = 323.80

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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.