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Finding the Fourth Proportional to 318.98, 478.05 and 231.42

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Solution

The fourth proportional to 318.98, 478.05 and 231.42 is: 346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.98 : 478.05 = 231.42 : x
  2. Step 2: Convert to fraction form
    318.98/478.05 = 231.42/x
  3. Step 3: Cross multiply
    318.98x = 478.05 × 231.42
  4. Step 4: Simplify right side
    318.98x = 110,629.17
  5. Step 5: Solve for x
    x = 110,629.17/318.98
  6. Step 6: Final answer
    x = 346.83

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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.