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Finding the Fourth Proportional to 593.39, 890.09 and 319.61

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Solution

The fourth proportional to 593.39, 890.09 and 319.61 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.39 : 890.09 = 319.61 : x
  2. Step 2: Convert to fraction form
    593.39/890.09 = 319.61/x
  3. Step 3: Cross multiply
    593.39x = 890.09 × 319.61
  4. Step 4: Simplify right side
    593.39x = 284,481.66
  5. Step 5: Solve for x
    x = 284,481.66/593.39
  6. Step 6: Final answer
    x = 479.42

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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.