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Finding the Fourth Proportional to 480.73, 663.40 and 270.89

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Solution

The fourth proportional to 480.73, 663.40 and 270.89 is: 373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.73 : 663.40 = 270.89 : x
  2. Step 2: Convert to fraction form
    480.73/663.40 = 270.89/x
  3. Step 3: Cross multiply
    480.73x = 663.40 × 270.89
  4. Step 4: Simplify right side
    480.73x = 179,708.43
  5. Step 5: Solve for x
    x = 179,708.43/480.73
  6. Step 6: Final answer
    x = 373.82

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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.