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Finding the Fourth Proportional to 481.39, 722.01 and 283.84

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Solution

The fourth proportional to 481.39, 722.01 and 283.84 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.39 : 722.01 = 283.84 : x
  2. Step 2: Convert to fraction form
    481.39/722.01 = 283.84/x
  3. Step 3: Cross multiply
    481.39x = 722.01 × 283.84
  4. Step 4: Simplify right side
    481.39x = 204,934.58
  5. Step 5: Solve for x
    x = 204,934.58/481.39
  6. Step 6: Final answer
    x = 425.72

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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.