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Finding the Fourth Proportional to 588.44, 882.54 and 203.80

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Solution

The fourth proportional to 588.44, 882.54 and 203.80 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 882.54 = 203.80 : x
  2. Step 2: Convert to fraction form
    588.44/882.54 = 203.80/x
  3. Step 3: Cross multiply
    588.44x = 882.54 × 203.80
  4. Step 4: Simplify right side
    588.44x = 179,861.65
  5. Step 5: Solve for x
    x = 179,861.65/588.44
  6. Step 6: Final answer
    x = 305.66

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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.