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Finding the Fourth Proportional to 371.63, 513.01 and 265.36

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Solution

The fourth proportional to 371.63, 513.01 and 265.36 is: 366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.63 : 513.01 = 265.36 : x
  2. Step 2: Convert to fraction form
    371.63/513.01 = 265.36/x
  3. Step 3: Cross multiply
    371.63x = 513.01 × 265.36
  4. Step 4: Simplify right side
    371.63x = 136,132.33
  5. Step 5: Solve for x
    x = 136,132.33/371.63
  6. Step 6: Final answer
    x = 366.31

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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.