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Finding the Fourth Proportional to 590.02, 884.90 and 199.93

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Solution

The fourth proportional to 590.02, 884.90 and 199.93 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 884.90 = 199.93 : x
  2. Step 2: Convert to fraction form
    590.02/884.90 = 199.93/x
  3. Step 3: Cross multiply
    590.02x = 884.90 × 199.93
  4. Step 4: Simplify right side
    590.02x = 176,918.06
  5. Step 5: Solve for x
    x = 176,918.06/590.02
  6. Step 6: Final answer
    x = 299.85

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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.