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Finding the Fourth Proportional to 330.74, 495.90 and 273.50

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Solution

The fourth proportional to 330.74, 495.90 and 273.50 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.74 : 495.90 = 273.50 : x
  2. Step 2: Convert to fraction form
    330.74/495.90 = 273.50/x
  3. Step 3: Cross multiply
    330.74x = 495.90 × 273.50
  4. Step 4: Simplify right side
    330.74x = 135,628.65
  5. Step 5: Solve for x
    x = 135,628.65/330.74
  6. Step 6: Final answer
    x = 410.08

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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.