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Finding the Fourth Proportional to 318.52, 478.38 and 301.72

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Solution

The fourth proportional to 318.52, 478.38 and 301.72 is: 453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.52 : 478.38 = 301.72 : x
  2. Step 2: Convert to fraction form
    318.52/478.38 = 301.72/x
  3. Step 3: Cross multiply
    318.52x = 478.38 × 301.72
  4. Step 4: Simplify right side
    318.52x = 144,336.81
  5. Step 5: Solve for x
    x = 144,336.81/318.52
  6. Step 6: Final answer
    x = 453.15

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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.