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Finding the Fourth Proportional to 317.80, 475.75 and 214.90

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Solution

The fourth proportional to 317.80, 475.75 and 214.90 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 475.75 = 214.90 : x
  2. Step 2: Convert to fraction form
    317.80/475.75 = 214.90/x
  3. Step 3: Cross multiply
    317.80x = 475.75 × 214.90
  4. Step 4: Simplify right side
    317.80x = 102,239.83
  5. Step 5: Solve for x
    x = 102,239.83/317.80
  6. Step 6: Final answer
    x = 321.71

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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.