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Finding the Fourth Proportional to 515.25, 772.56 and 206.84

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Solution

The fourth proportional to 515.25, 772.56 and 206.84 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.25 : 772.56 = 206.84 : x
  2. Step 2: Convert to fraction form
    515.25/772.56 = 206.84/x
  3. Step 3: Cross multiply
    515.25x = 772.56 × 206.84
  4. Step 4: Simplify right side
    515.25x = 159,792.45
  5. Step 5: Solve for x
    x = 159,792.45/515.25
  6. Step 6: Final answer
    x = 310.13

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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.