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Finding the Fourth Proportional to 574.83, 857.46 and 519.47

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Solution

The fourth proportional to 574.83, 857.46 and 519.47 is: 774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 857.46 = 519.47 : x
  2. Step 2: Convert to fraction form
    574.83/857.46 = 519.47/x
  3. Step 3: Cross multiply
    574.83x = 857.46 × 519.47
  4. Step 4: Simplify right side
    574.83x = 445,418.51
  5. Step 5: Solve for x
    x = 445,418.51/574.83
  6. Step 6: Final answer
    x = 774.88

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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.