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Finding the Fourth Proportional to 594.04, 890.97 and 198.73

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Solution

The fourth proportional to 594.04, 890.97 and 198.73 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.04 : 890.97 = 198.73 : x
  2. Step 2: Convert to fraction form
    594.04/890.97 = 198.73/x
  3. Step 3: Cross multiply
    594.04x = 890.97 × 198.73
  4. Step 4: Simplify right side
    594.04x = 177,063.47
  5. Step 5: Solve for x
    x = 177,063.47/594.04
  6. Step 6: Final answer
    x = 298.06

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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.