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Finding the Fourth Proportional to 346.62, 478.42 and 213.88

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Solution

The fourth proportional to 346.62, 478.42 and 213.88 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.62 : 478.42 = 213.88 : x
  2. Step 2: Convert to fraction form
    346.62/478.42 = 213.88/x
  3. Step 3: Cross multiply
    346.62x = 478.42 × 213.88
  4. Step 4: Simplify right side
    346.62x = 102,324.47
  5. Step 5: Solve for x
    x = 102,324.47/346.62
  6. Step 6: Final answer
    x = 295.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.