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Finding the Fourth Proportional to 590.08, 884.88 and 199.96

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Solution

The fourth proportional to 590.08, 884.88 and 199.96 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 884.88 = 199.96 : x
  2. Step 2: Convert to fraction form
    590.08/884.88 = 199.96/x
  3. Step 3: Cross multiply
    590.08x = 884.88 × 199.96
  4. Step 4: Simplify right side
    590.08x = 176,940.60
  5. Step 5: Solve for x
    x = 176,940.60/590.08
  6. Step 6: Final answer
    x = 299.86

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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.