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Finding the Fourth Proportional to 308.22, 462.54 and 217.10

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Solution

The fourth proportional to 308.22, 462.54 and 217.10 is: 325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.22 : 462.54 = 217.10 : x
  2. Step 2: Convert to fraction form
    308.22/462.54 = 217.10/x
  3. Step 3: Cross multiply
    308.22x = 462.54 × 217.10
  4. Step 4: Simplify right side
    308.22x = 100,417.43
  5. Step 5: Solve for x
    x = 100,417.43/308.22
  6. Step 6: Final answer
    x = 325.80

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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.