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Finding the Fourth Proportional to 337.51, 465.29 and 239.23

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Solution

The fourth proportional to 337.51, 465.29 and 239.23 is: 329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.51 : 465.29 = 239.23 : x
  2. Step 2: Convert to fraction form
    337.51/465.29 = 239.23/x
  3. Step 3: Cross multiply
    337.51x = 465.29 × 239.23
  4. Step 4: Simplify right side
    337.51x = 111,310.13
  5. Step 5: Solve for x
    x = 111,310.13/337.51
  6. Step 6: Final answer
    x = 329.80

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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.