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Finding the Fourth Proportional to 515.94, 774.02 and 219.48

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Solution

The fourth proportional to 515.94, 774.02 and 219.48 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.94 : 774.02 = 219.48 : x
  2. Step 2: Convert to fraction form
    515.94/774.02 = 219.48/x
  3. Step 3: Cross multiply
    515.94x = 774.02 × 219.48
  4. Step 4: Simplify right side
    515.94x = 169,881.91
  5. Step 5: Solve for x
    x = 169,881.91/515.94
  6. Step 6: Final answer
    x = 329.27

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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.