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Finding the Fourth Proportional to 593.82, 890.62 and 269.11

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Solution

The fourth proportional to 593.82, 890.62 and 269.11 is: 403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 890.62 = 269.11 : x
  2. Step 2: Convert to fraction form
    593.82/890.62 = 269.11/x
  3. Step 3: Cross multiply
    593.82x = 890.62 × 269.11
  4. Step 4: Simplify right side
    593.82x = 239,671.85
  5. Step 5: Solve for x
    x = 239,671.85/593.82
  6. Step 6: Final answer
    x = 403.61

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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.