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Finding the Fourth Proportional to 515.11, 772.34 and 271.75

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Solution

The fourth proportional to 515.11, 772.34 and 271.75 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.11 : 772.34 = 271.75 : x
  2. Step 2: Convert to fraction form
    515.11/772.34 = 271.75/x
  3. Step 3: Cross multiply
    515.11x = 772.34 × 271.75
  4. Step 4: Simplify right side
    515.11x = 209,879.53
  5. Step 5: Solve for x
    x = 209,879.53/515.11
  6. Step 6: Final answer
    x = 407.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.