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Finding the Fourth Proportional to 350.79, 527.00 and 206.61

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Solution

The fourth proportional to 350.79, 527.00 and 206.61 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.79 : 527.00 = 206.61 : x
  2. Step 2: Convert to fraction form
    350.79/527.00 = 206.61/x
  3. Step 3: Cross multiply
    350.79x = 527.00 × 206.61
  4. Step 4: Simplify right side
    350.79x = 108,882.44
  5. Step 5: Solve for x
    x = 108,882.44/350.79
  6. Step 6: Final answer
    x = 310.39

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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.