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Finding the Fourth Proportional to 480.88, 663.78 and 306.46

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Solution

The fourth proportional to 480.88, 663.78 and 306.46 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.88 : 663.78 = 306.46 : x
  2. Step 2: Convert to fraction form
    480.88/663.78 = 306.46/x
  3. Step 3: Cross multiply
    480.88x = 663.78 × 306.46
  4. Step 4: Simplify right side
    480.88x = 203,422.02
  5. Step 5: Solve for x
    x = 203,422.02/480.88
  6. Step 6: Final answer
    x = 423.02

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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.