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Finding the Fourth Proportional to 590.26, 885.49 and 194.96

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Solution

The fourth proportional to 590.26, 885.49 and 194.96 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.26 : 885.49 = 194.96 : x
  2. Step 2: Convert to fraction form
    590.26/885.49 = 194.96/x
  3. Step 3: Cross multiply
    590.26x = 885.49 × 194.96
  4. Step 4: Simplify right side
    590.26x = 172,632.92
  5. Step 5: Solve for x
    x = 172,632.92/590.26
  6. Step 6: Final answer
    x = 292.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.