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Finding the Fourth Proportional to 318.72, 478.12 and 301.44

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Solution

The fourth proportional to 318.72, 478.12 and 301.44 is: 452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.72 : 478.12 = 301.44 : x
  2. Step 2: Convert to fraction form
    318.72/478.12 = 301.44/x
  3. Step 3: Cross multiply
    318.72x = 478.12 × 301.44
  4. Step 4: Simplify right side
    318.72x = 144,124.49
  5. Step 5: Solve for x
    x = 144,124.49/318.72
  6. Step 6: Final answer
    x = 452.20

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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.