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Finding the Fourth Proportional to 329.87, 454.74 and 271.19

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Solution

The fourth proportional to 329.87, 454.74 and 271.19 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.87 : 454.74 = 271.19 : x
  2. Step 2: Convert to fraction form
    329.87/454.74 = 271.19/x
  3. Step 3: Cross multiply
    329.87x = 454.74 × 271.19
  4. Step 4: Simplify right side
    329.87x = 123,320.94
  5. Step 5: Solve for x
    x = 123,320.94/329.87
  6. Step 6: Final answer
    x = 373.85

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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.