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Finding the Fourth Proportional to 590.56, 884.77 and 330.25

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Solution

The fourth proportional to 590.56, 884.77 and 330.25 is: 494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 884.77 = 330.25 : x
  2. Step 2: Convert to fraction form
    590.56/884.77 = 330.25/x
  3. Step 3: Cross multiply
    590.56x = 884.77 × 330.25
  4. Step 4: Simplify right side
    590.56x = 292,195.29
  5. Step 5: Solve for x
    x = 292,195.29/590.56
  6. Step 6: Final answer
    x = 494.78

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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.