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Finding the Fourth Proportional to 349.83, 523.92 and 205.65

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Solution

The fourth proportional to 349.83, 523.92 and 205.65 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 523.92 = 205.65 : x
  2. Step 2: Convert to fraction form
    349.83/523.92 = 205.65/x
  3. Step 3: Cross multiply
    349.83x = 523.92 × 205.65
  4. Step 4: Simplify right side
    349.83x = 107,744.92
  5. Step 5: Solve for x
    x = 107,744.92/349.83
  6. Step 6: Final answer
    x = 307.99

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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.