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Finding the Fourth Proportional to 317.40, 475.42 and 214.23

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Solution

The fourth proportional to 317.40, 475.42 and 214.23 is: 320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 475.42 = 214.23 : x
  2. Step 2: Convert to fraction form
    317.40/475.42 = 214.23/x
  3. Step 3: Cross multiply
    317.40x = 475.42 × 214.23
  4. Step 4: Simplify right side
    317.40x = 101,848.20
  5. Step 5: Solve for x
    x = 101,848.20/317.40
  6. Step 6: Final answer
    x = 320.88

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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.