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Finding the Fourth Proportional to 515.64, 772.89 and 227.04

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Solution

The fourth proportional to 515.64, 772.89 and 227.04 is: 340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 772.89 = 227.04 : x
  2. Step 2: Convert to fraction form
    515.64/772.89 = 227.04/x
  3. Step 3: Cross multiply
    515.64x = 772.89 × 227.04
  4. Step 4: Simplify right side
    515.64x = 175,476.95
  5. Step 5: Solve for x
    x = 175,476.95/515.64
  6. Step 6: Final answer
    x = 340.31

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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.