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Finding the Fourth Proportional to 294.92, 441.17 and 245.78

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Solution

The fourth proportional to 294.92, 441.17 and 245.78 is: 367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.92 : 441.17 = 245.78 : x
  2. Step 2: Convert to fraction form
    294.92/441.17 = 245.78/x
  3. Step 3: Cross multiply
    294.92x = 441.17 × 245.78
  4. Step 4: Simplify right side
    294.92x = 108,429.53
  5. Step 5: Solve for x
    x = 108,429.53/294.92
  6. Step 6: Final answer
    x = 367.66

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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.