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Finding the Fourth Proportional to 590.85, 886.05 and 200.76

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Solution

The fourth proportional to 590.85, 886.05 and 200.76 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.85 : 886.05 = 200.76 : x
  2. Step 2: Convert to fraction form
    590.85/886.05 = 200.76/x
  3. Step 3: Cross multiply
    590.85x = 886.05 × 200.76
  4. Step 4: Simplify right side
    590.85x = 177,883.40
  5. Step 5: Solve for x
    x = 177,883.40/590.85
  6. Step 6: Final answer
    x = 301.06

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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.