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Finding the Fourth Proportional to 369.69, 509.94 and 238.71

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Solution

The fourth proportional to 369.69, 509.94 and 238.71 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.69 : 509.94 = 238.71 : x
  2. Step 2: Convert to fraction form
    369.69/509.94 = 238.71/x
  3. Step 3: Cross multiply
    369.69x = 509.94 × 238.71
  4. Step 4: Simplify right side
    369.69x = 121,727.78
  5. Step 5: Solve for x
    x = 121,727.78/369.69
  6. Step 6: Final answer
    x = 329.27

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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.