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Finding the Fourth Proportional to 566.28, 844.56 and 519.12

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Solution

The fourth proportional to 566.28, 844.56 and 519.12 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.28 : 844.56 = 519.12 : x
  2. Step 2: Convert to fraction form
    566.28/844.56 = 519.12/x
  3. Step 3: Cross multiply
    566.28x = 844.56 × 519.12
  4. Step 4: Simplify right side
    566.28x = 438,427.99
  5. Step 5: Solve for x
    x = 438,427.99/566.28
  6. Step 6: Final answer
    x = 774.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.