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Finding the Fourth Proportional to 405.35, 559 and 239.57

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Solution

The fourth proportional to 405.35, 559 and 239.57 is: 330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.35 : 559 = 239.57 : x
  2. Step 2: Convert to fraction form
    405.35/559 = 239.57/x
  3. Step 3: Cross multiply
    405.35x = 559 × 239.57
  4. Step 4: Simplify right side
    405.35x = 133,919.63
  5. Step 5: Solve for x
    x = 133,919.63/405.35
  6. Step 6: Final answer
    x = 330.38

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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.