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Finding the Fourth Proportional to 481.47, 721.49 and 395.40

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Solution

The fourth proportional to 481.47, 721.49 and 395.40 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.47 : 721.49 = 395.40 : x
  2. Step 2: Convert to fraction form
    481.47/721.49 = 395.40/x
  3. Step 3: Cross multiply
    481.47x = 721.49 × 395.40
  4. Step 4: Simplify right side
    481.47x = 285,277.15
  5. Step 5: Solve for x
    x = 285,277.15/481.47
  6. Step 6: Final answer
    x = 592.51

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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.