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Finding the Fourth Proportional to 405.43, 559.37 and 239.70

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Solution

The fourth proportional to 405.43, 559.37 and 239.70 is: 330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.43 : 559.37 = 239.70 : x
  2. Step 2: Convert to fraction form
    405.43/559.37 = 239.70/x
  3. Step 3: Cross multiply
    405.43x = 559.37 × 239.70
  4. Step 4: Simplify right side
    405.43x = 134,080.99
  5. Step 5: Solve for x
    x = 134,080.99/405.43
  6. Step 6: Final answer
    x = 330.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.