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Finding the Fourth Proportional to 353.80, 488.49 and 270.76

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Solution

The fourth proportional to 353.80, 488.49 and 270.76 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.80 : 488.49 = 270.76 : x
  2. Step 2: Convert to fraction form
    353.80/488.49 = 270.76/x
  3. Step 3: Cross multiply
    353.80x = 488.49 × 270.76
  4. Step 4: Simplify right side
    353.80x = 132,263.15
  5. Step 5: Solve for x
    x = 132,263.15/353.80
  6. Step 6: Final answer
    x = 373.83

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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.