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Finding the Fourth Proportional to 480.30, 663.01 and 293.85

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Solution

The fourth proportional to 480.30, 663.01 and 293.85 is: 405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.30 : 663.01 = 293.85 : x
  2. Step 2: Convert to fraction form
    480.30/663.01 = 293.85/x
  3. Step 3: Cross multiply
    480.30x = 663.01 × 293.85
  4. Step 4: Simplify right side
    480.30x = 194,825.49
  5. Step 5: Solve for x
    x = 194,825.49/480.30
  6. Step 6: Final answer
    x = 405.63

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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.