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Finding the Fourth Proportional to 547.91, 823.28 and 411.83

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Solution

The fourth proportional to 547.91, 823.28 and 411.83 is: 618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.91 : 823.28 = 411.83 : x
  2. Step 2: Convert to fraction form
    547.91/823.28 = 411.83/x
  3. Step 3: Cross multiply
    547.91x = 823.28 × 411.83
  4. Step 4: Simplify right side
    547.91x = 339,045.23
  5. Step 5: Solve for x
    x = 339,045.23/547.91
  6. Step 6: Final answer
    x = 618.80

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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.