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Finding the Fourth Proportional to 480.54, 663.21 and 293.97

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Solution

The fourth proportional to 480.54, 663.21 and 293.97 is: 405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.54 : 663.21 = 293.97 : x
  2. Step 2: Convert to fraction form
    480.54/663.21 = 293.97/x
  3. Step 3: Cross multiply
    480.54x = 663.21 × 293.97
  4. Step 4: Simplify right side
    480.54x = 194,963.84
  5. Step 5: Solve for x
    x = 194,963.84/480.54
  6. Step 6: Final answer
    x = 405.72

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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.