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Finding the Fourth Proportional to 478.46, 717.19 and 234.68

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Solution

The fourth proportional to 478.46, 717.19 and 234.68 is: 351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.46 : 717.19 = 234.68 : x
  2. Step 2: Convert to fraction form
    478.46/717.19 = 234.68/x
  3. Step 3: Cross multiply
    478.46x = 717.19 × 234.68
  4. Step 4: Simplify right side
    478.46x = 168,310.15
  5. Step 5: Solve for x
    x = 168,310.15/478.46
  6. Step 6: Final answer
    x = 351.77

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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.