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Finding the Fourth Proportional to 369.15, 509.41 and 238.23

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Solution

The fourth proportional to 369.15, 509.41 and 238.23 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.15 : 509.41 = 238.23 : x
  2. Step 2: Convert to fraction form
    369.15/509.41 = 238.23/x
  3. Step 3: Cross multiply
    369.15x = 509.41 × 238.23
  4. Step 4: Simplify right side
    369.15x = 121,357.04
  5. Step 5: Solve for x
    x = 121,357.04/369.15
  6. Step 6: Final answer
    x = 328.75

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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.