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Finding the Fourth Proportional to 405.06, 559.02 and 239.34

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Solution

The fourth proportional to 405.06, 559.02 and 239.34 is: 330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.06 : 559.02 = 239.34 : x
  2. Step 2: Convert to fraction form
    405.06/559.02 = 239.34/x
  3. Step 3: Cross multiply
    405.06x = 559.02 × 239.34
  4. Step 4: Simplify right side
    405.06x = 133,795.85
  5. Step 5: Solve for x
    x = 133,795.85/405.06
  6. Step 6: Final answer
    x = 330.31

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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.