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Finding the Fourth Proportional to 350.23, 524.39 and 252.83

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Solution

The fourth proportional to 350.23, 524.39 and 252.83 is: 378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.23 : 524.39 = 252.83 : x
  2. Step 2: Convert to fraction form
    350.23/524.39 = 252.83/x
  3. Step 3: Cross multiply
    350.23x = 524.39 × 252.83
  4. Step 4: Simplify right side
    350.23x = 132,581.52
  5. Step 5: Solve for x
    x = 132,581.52/350.23
  6. Step 6: Final answer
    x = 378.56

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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.