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Finding the Fourth Proportional to 511.14, 703.86 and 371.03

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Solution

The fourth proportional to 511.14, 703.86 and 371.03 is: 510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.14 : 703.86 = 371.03 : x
  2. Step 2: Convert to fraction form
    511.14/703.86 = 371.03/x
  3. Step 3: Cross multiply
    511.14x = 703.86 × 371.03
  4. Step 4: Simplify right side
    511.14x = 261,149.66
  5. Step 5: Solve for x
    x = 261,149.66/511.14
  6. Step 6: Final answer
    x = 510.92

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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.