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Finding the Fourth Proportional to 448.69, 619.20 and 271.65

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Solution

The fourth proportional to 448.69, 619.20 and 271.65 is: 374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.69 : 619.20 = 271.65 : x
  2. Step 2: Convert to fraction form
    448.69/619.20 = 271.65/x
  3. Step 3: Cross multiply
    448.69x = 619.20 × 271.65
  4. Step 4: Simplify right side
    448.69x = 168,205.87
  5. Step 5: Solve for x
    x = 168,205.87/448.69
  6. Step 6: Final answer
    x = 374.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.