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Finding the Fourth Proportional to 590.14, 884.92 and 200.02

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Solution

The fourth proportional to 590.14, 884.92 and 200.02 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 884.92 = 200.02 : x
  2. Step 2: Convert to fraction form
    590.14/884.92 = 200.02/x
  3. Step 3: Cross multiply
    590.14x = 884.92 × 200.02
  4. Step 4: Simplify right side
    590.14x = 177,001.70
  5. Step 5: Solve for x
    x = 177,001.70/590.14
  6. Step 6: Final answer
    x = 299.93

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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.