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Finding the Fourth Proportional to 317.44, 476.34 and 214.96

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Solution

The fourth proportional to 317.44, 476.34 and 214.96 is: 322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.44 : 476.34 = 214.96 : x
  2. Step 2: Convert to fraction form
    317.44/476.34 = 214.96/x
  3. Step 3: Cross multiply
    317.44x = 476.34 × 214.96
  4. Step 4: Simplify right side
    317.44x = 102,394.05
  5. Step 5: Solve for x
    x = 102,394.05/317.44
  6. Step 6: Final answer
    x = 322.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.