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Finding the Fourth Proportional to 593.97, 890.97 and 269.43

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Solution

The fourth proportional to 593.97, 890.97 and 269.43 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.97 : 890.97 = 269.43 : x
  2. Step 2: Convert to fraction form
    593.97/890.97 = 269.43/x
  3. Step 3: Cross multiply
    593.97x = 890.97 × 269.43
  4. Step 4: Simplify right side
    593.97x = 240,054.05
  5. Step 5: Solve for x
    x = 240,054.05/593.97
  6. Step 6: Final answer
    x = 404.15

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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.