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Finding the Fourth Proportional to 312.09, 467.71 and 239.59

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Solution

The fourth proportional to 312.09, 467.71 and 239.59 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 467.71 = 239.59 : x
  2. Step 2: Convert to fraction form
    312.09/467.71 = 239.59/x
  3. Step 3: Cross multiply
    312.09x = 467.71 × 239.59
  4. Step 4: Simplify right side
    312.09x = 112,058.64
  5. Step 5: Solve for x
    x = 112,058.64/312.09
  6. Step 6: Final answer
    x = 359.06

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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.