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Finding the Fourth Proportional to 482.80, 723.84 and 320.44

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Solution

The fourth proportional to 482.80, 723.84 and 320.44 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.80 : 723.84 = 320.44 : x
  2. Step 2: Convert to fraction form
    482.80/723.84 = 320.44/x
  3. Step 3: Cross multiply
    482.80x = 723.84 × 320.44
  4. Step 4: Simplify right side
    482.80x = 231,947.29
  5. Step 5: Solve for x
    x = 231,947.29/482.80
  6. Step 6: Final answer
    x = 480.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.