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Finding the Fourth Proportional to 590.91, 886.49 and 200.92

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Solution

The fourth proportional to 590.91, 886.49 and 200.92 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.91 : 886.49 = 200.92 : x
  2. Step 2: Convert to fraction form
    590.91/886.49 = 200.92/x
  3. Step 3: Cross multiply
    590.91x = 886.49 × 200.92
  4. Step 4: Simplify right side
    590.91x = 178,110.35
  5. Step 5: Solve for x
    x = 178,110.35/590.91
  6. Step 6: Final answer
    x = 301.42

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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.