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Finding the Fourth Proportional to 317.62, 438.11 and 217.99

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Solution

The fourth proportional to 317.62, 438.11 and 217.99 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.62 : 438.11 = 217.99 : x
  2. Step 2: Convert to fraction form
    317.62/438.11 = 217.99/x
  3. Step 3: Cross multiply
    317.62x = 438.11 × 217.99
  4. Step 4: Simplify right side
    317.62x = 95,501.41
  5. Step 5: Solve for x
    x = 95,501.41/317.62
  6. Step 6: Final answer
    x = 300.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.