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Finding the Fourth Proportional to 590.04, 884.97 and 200.09

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Solution

The fourth proportional to 590.04, 884.97 and 200.09 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 884.97 = 200.09 : x
  2. Step 2: Convert to fraction form
    590.04/884.97 = 200.09/x
  3. Step 3: Cross multiply
    590.04x = 884.97 × 200.09
  4. Step 4: Simplify right side
    590.04x = 177,069.22
  5. Step 5: Solve for x
    x = 177,069.22/590.04
  6. Step 6: Final answer
    x = 300.10

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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.