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Finding the Fourth Proportional to 350.92, 525.57 and 213.83

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Solution

The fourth proportional to 350.92, 525.57 and 213.83 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.92 : 525.57 = 213.83 : x
  2. Step 2: Convert to fraction form
    350.92/525.57 = 213.83/x
  3. Step 3: Cross multiply
    350.92x = 525.57 × 213.83
  4. Step 4: Simplify right side
    350.92x = 112,382.63
  5. Step 5: Solve for x
    x = 112,382.63/350.92
  6. Step 6: Final answer
    x = 320.25

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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.