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Finding the Fourth Proportional to 1,446.33, 2,169.49 and 350.69

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Solution

The fourth proportional to 1,446.33, 2,169.49 and 350.69 is: 526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.33 : 2,169.49 = 350.69 : x
  2. Step 2: Convert to fraction form
    1,446.33/2,169.49 = 350.69/x
  3. Step 3: Cross multiply
    1,446.33x = 2,169.49 × 350.69
  4. Step 4: Simplify right side
    1,446.33x = 760,824.30
  5. Step 5: Solve for x
    x = 760,824.30/1,446.33
  6. Step 6: Final answer
    x = 526.04

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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.