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Finding the Fourth Proportional to 590.29, 885.25 and 194.90

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Solution

The fourth proportional to 590.29, 885.25 and 194.90 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.29 : 885.25 = 194.90 : x
  2. Step 2: Convert to fraction form
    590.29/885.25 = 194.90/x
  3. Step 3: Cross multiply
    590.29x = 885.25 × 194.90
  4. Step 4: Simplify right side
    590.29x = 172,531.80
  5. Step 5: Solve for x
    x = 172,531.80/590.29
  6. Step 6: Final answer
    x = 292.28

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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.