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Finding the Fourth Proportional to 317.61, 475.18 and 214.41

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Solution

The fourth proportional to 317.61, 475.18 and 214.41 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.61 : 475.18 = 214.41 : x
  2. Step 2: Convert to fraction form
    317.61/475.18 = 214.41/x
  3. Step 3: Cross multiply
    317.61x = 475.18 × 214.41
  4. Step 4: Simplify right side
    317.61x = 101,883.34
  5. Step 5: Solve for x
    x = 101,883.34/317.61
  6. Step 6: Final answer
    x = 320.78

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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.