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Finding the Fourth Proportional to 371.52, 508.26 and 369.96

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Solution

The fourth proportional to 371.52, 508.26 and 369.96 is: 506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.52 : 508.26 = 369.96 : x
  2. Step 2: Convert to fraction form
    371.52/508.26 = 369.96/x
  3. Step 3: Cross multiply
    371.52x = 508.26 × 369.96
  4. Step 4: Simplify right side
    371.52x = 188,035.87
  5. Step 5: Solve for x
    x = 188,035.87/371.52
  6. Step 6: Final answer
    x = 506.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.