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Finding the Fourth Proportional to 515.36, 772.87 and 207.13

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Solution

The fourth proportional to 515.36, 772.87 and 207.13 is: 310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.36 : 772.87 = 207.13 : x
  2. Step 2: Convert to fraction form
    515.36/772.87 = 207.13/x
  3. Step 3: Cross multiply
    515.36x = 772.87 × 207.13
  4. Step 4: Simplify right side
    515.36x = 160,084.56
  5. Step 5: Solve for x
    x = 160,084.56/515.36
  6. Step 6: Final answer
    x = 310.63

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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.