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Finding the Fourth Proportional to 590.01, 884.43 and 330.13

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Solution

The fourth proportional to 590.01, 884.43 and 330.13 is: 494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.01 : 884.43 = 330.13 : x
  2. Step 2: Convert to fraction form
    590.01/884.43 = 330.13/x
  3. Step 3: Cross multiply
    590.01x = 884.43 × 330.13
  4. Step 4: Simplify right side
    590.01x = 291,976.88
  5. Step 5: Solve for x
    x = 291,976.88/590.01
  6. Step 6: Final answer
    x = 494.87

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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.