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Finding the Fourth Proportional to 593.82, 890.22 and 228.87

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Solution

The fourth proportional to 593.82, 890.22 and 228.87 is: 343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 890.22 = 228.87 : x
  2. Step 2: Convert to fraction form
    593.82/890.22 = 228.87/x
  3. Step 3: Cross multiply
    593.82x = 890.22 × 228.87
  4. Step 4: Simplify right side
    593.82x = 203,744.65
  5. Step 5: Solve for x
    x = 203,744.65/593.82
  6. Step 6: Final answer
    x = 343.11

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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.