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Finding the Fourth Proportional to 590.05, 884.40 and 293.41

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Solution

The fourth proportional to 590.05, 884.40 and 293.41 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.05 : 884.40 = 293.41 : x
  2. Step 2: Convert to fraction form
    590.05/884.40 = 293.41/x
  3. Step 3: Cross multiply
    590.05x = 884.40 × 293.41
  4. Step 4: Simplify right side
    590.05x = 259,491.80
  5. Step 5: Solve for x
    x = 259,491.80/590.05
  6. Step 6: Final answer
    x = 439.78

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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.