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Finding the Fourth Proportional to 585.78, 808.36 and 323.80

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Solution

The fourth proportional to 585.78, 808.36 and 323.80 is: 446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.78 : 808.36 = 323.80 : x
  2. Step 2: Convert to fraction form
    585.78/808.36 = 323.80/x
  3. Step 3: Cross multiply
    585.78x = 808.36 × 323.80
  4. Step 4: Simplify right side
    585.78x = 261,745.96
  5. Step 5: Solve for x
    x = 261,745.96/585.78
  6. Step 6: Final answer
    x = 446.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.