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Finding the Fourth Proportional to 590.80, 886.12 and 200.79

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Solution

The fourth proportional to 590.80, 886.12 and 200.79 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.80 : 886.12 = 200.79 : x
  2. Step 2: Convert to fraction form
    590.80/886.12 = 200.79/x
  3. Step 3: Cross multiply
    590.80x = 886.12 × 200.79
  4. Step 4: Simplify right side
    590.80x = 177,920.51
  5. Step 5: Solve for x
    x = 177,920.51/590.80
  6. Step 6: Final answer
    x = 301.15

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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.