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Finding the Fourth Proportional to 480.43, 662.89 and 283.84

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Solution

The fourth proportional to 480.43, 662.89 and 283.84 is: 391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.43 : 662.89 = 283.84 : x
  2. Step 2: Convert to fraction form
    480.43/662.89 = 283.84/x
  3. Step 3: Cross multiply
    480.43x = 662.89 × 283.84
  4. Step 4: Simplify right side
    480.43x = 188,154.70
  5. Step 5: Solve for x
    x = 188,154.70/480.43
  6. Step 6: Final answer
    x = 391.64

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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.