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Finding the Fourth Proportional to 593.21, 889.77 and 227.90

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Solution

The fourth proportional to 593.21, 889.77 and 227.90 is: 341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.21 : 889.77 = 227.90 : x
  2. Step 2: Convert to fraction form
    593.21/889.77 = 227.90/x
  3. Step 3: Cross multiply
    593.21x = 889.77 × 227.90
  4. Step 4: Simplify right side
    593.21x = 202,778.58
  5. Step 5: Solve for x
    x = 202,778.58/593.21
  6. Step 6: Final answer
    x = 341.83

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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.