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Finding the Fourth Proportional to 590.06, 884.03 and 329.75

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Solution

The fourth proportional to 590.06, 884.03 and 329.75 is: 494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 884.03 = 329.75 : x
  2. Step 2: Convert to fraction form
    590.06/884.03 = 329.75/x
  3. Step 3: Cross multiply
    590.06x = 884.03 × 329.75
  4. Step 4: Simplify right side
    590.06x = 291,508.89
  5. Step 5: Solve for x
    x = 291,508.89/590.06
  6. Step 6: Final answer
    x = 494.03

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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.