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Finding the Fourth Proportional to 593.82, 890.76 and 228.58

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Solution

The fourth proportional to 593.82, 890.76 and 228.58 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 890.76 = 228.58 : x
  2. Step 2: Convert to fraction form
    593.82/890.76 = 228.58/x
  3. Step 3: Cross multiply
    593.82x = 890.76 × 228.58
  4. Step 4: Simplify right side
    593.82x = 203,609.92
  5. Step 5: Solve for x
    x = 203,609.92/593.82
  6. Step 6: Final answer
    x = 342.88

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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.