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Finding the Fourth Proportional to 481.02, 721.80 and 400.83

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Solution

The fourth proportional to 481.02, 721.80 and 400.83 is: 601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.02 : 721.80 = 400.83 : x
  2. Step 2: Convert to fraction form
    481.02/721.80 = 400.83/x
  3. Step 3: Cross multiply
    481.02x = 721.80 × 400.83
  4. Step 4: Simplify right side
    481.02x = 289,319.09
  5. Step 5: Solve for x
    x = 289,319.09/481.02
  6. Step 6: Final answer
    x = 601.47

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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.