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Finding the Fourth Proportional to 484.83, 726.17 and 341.19

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Solution

The fourth proportional to 484.83, 726.17 and 341.19 is: 511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.83 : 726.17 = 341.19 : x
  2. Step 2: Convert to fraction form
    484.83/726.17 = 341.19/x
  3. Step 3: Cross multiply
    484.83x = 726.17 × 341.19
  4. Step 4: Simplify right side
    484.83x = 247,760.24
  5. Step 5: Solve for x
    x = 247,760.24/484.83
  6. Step 6: Final answer
    x = 511.02

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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.