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Finding the Fourth Proportional to 480.24, 662.55 and 280.98

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Solution

The fourth proportional to 480.24, 662.55 and 280.98 is: 387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.24 : 662.55 = 280.98 : x
  2. Step 2: Convert to fraction form
    480.24/662.55 = 280.98/x
  3. Step 3: Cross multiply
    480.24x = 662.55 × 280.98
  4. Step 4: Simplify right side
    480.24x = 186,163.30
  5. Step 5: Solve for x
    x = 186,163.30/480.24
  6. Step 6: Final answer
    x = 387.65

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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.