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Finding the Fourth Proportional to 590.67, 885.92 and 205.92

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Solution

The fourth proportional to 590.67, 885.92 and 205.92 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.67 : 885.92 = 205.92 : x
  2. Step 2: Convert to fraction form
    590.67/885.92 = 205.92/x
  3. Step 3: Cross multiply
    590.67x = 885.92 × 205.92
  4. Step 4: Simplify right side
    590.67x = 182,427.62
  5. Step 5: Solve for x
    x = 182,427.62/590.67
  6. Step 6: Final answer
    x = 308.85

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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.