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Finding the Fourth Proportional to 349.23, 523.07 and 294.92

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Solution

The fourth proportional to 349.23, 523.07 and 294.92 is: 441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 523.07 = 294.92 : x
  2. Step 2: Convert to fraction form
    349.23/523.07 = 294.92/x
  3. Step 3: Cross multiply
    349.23x = 523.07 × 294.92
  4. Step 4: Simplify right side
    349.23x = 154,263.80
  5. Step 5: Solve for x
    x = 154,263.80/349.23
  6. Step 6: Final answer
    x = 441.73

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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.