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Finding the Fourth Proportional to 369.88, 509.87 and 304.27

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Solution

The fourth proportional to 369.88, 509.87 and 304.27 is: 419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.88 : 509.87 = 304.27 : x
  2. Step 2: Convert to fraction form
    369.88/509.87 = 304.27/x
  3. Step 3: Cross multiply
    369.88x = 509.87 × 304.27
  4. Step 4: Simplify right side
    369.88x = 155,138.14
  5. Step 5: Solve for x
    x = 155,138.14/369.88
  6. Step 6: Final answer
    x = 419.43

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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.