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Finding the Fourth Proportional to 378.32, 522.10 and 229.04

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Solution

The fourth proportional to 378.32, 522.10 and 229.04 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.32 : 522.10 = 229.04 : x
  2. Step 2: Convert to fraction form
    378.32/522.10 = 229.04/x
  3. Step 3: Cross multiply
    378.32x = 522.10 × 229.04
  4. Step 4: Simplify right side
    378.32x = 119,581.78
  5. Step 5: Solve for x
    x = 119,581.78/378.32
  6. Step 6: Final answer
    x = 316.09

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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.