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Finding the Fourth Proportional to 590.06, 884.83 and 179.11

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Solution

The fourth proportional to 590.06, 884.83 and 179.11 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 884.83 = 179.11 : x
  2. Step 2: Convert to fraction form
    590.06/884.83 = 179.11/x
  3. Step 3: Cross multiply
    590.06x = 884.83 × 179.11
  4. Step 4: Simplify right side
    590.06x = 158,481.90
  5. Step 5: Solve for x
    x = 158,481.90/590.06
  6. Step 6: Final answer
    x = 268.59

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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.