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Finding the Fourth Proportional to 318.76, 478.27 and 217.01

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Solution

The fourth proportional to 318.76, 478.27 and 217.01 is: 325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 478.27 = 217.01 : x
  2. Step 2: Convert to fraction form
    318.76/478.27 = 217.01/x
  3. Step 3: Cross multiply
    318.76x = 478.27 × 217.01
  4. Step 4: Simplify right side
    318.76x = 103,787.91
  5. Step 5: Solve for x
    x = 103,787.91/318.76
  6. Step 6: Final answer
    x = 325.59

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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.