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Finding the Fourth Proportional to 393.77, 590.45 and 229.29

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Solution

The fourth proportional to 393.77, 590.45 and 229.29 is: 343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.77 : 590.45 = 229.29 : x
  2. Step 2: Convert to fraction form
    393.77/590.45 = 229.29/x
  3. Step 3: Cross multiply
    393.77x = 590.45 × 229.29
  4. Step 4: Simplify right side
    393.77x = 135,384.85
  5. Step 5: Solve for x
    x = 135,384.85/393.77
  6. Step 6: Final answer
    x = 343.82

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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.