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Finding the Fourth Proportional to 325.58, 488.16 and 217.16

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Solution

The fourth proportional to 325.58, 488.16 and 217.16 is: 325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.58 : 488.16 = 217.16 : x
  2. Step 2: Convert to fraction form
    325.58/488.16 = 217.16/x
  3. Step 3: Cross multiply
    325.58x = 488.16 × 217.16
  4. Step 4: Simplify right side
    325.58x = 106,008.83
  5. Step 5: Solve for x
    x = 106,008.83/325.58
  6. Step 6: Final answer
    x = 325.60

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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.