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Finding the Fourth Proportional to 574.71, 796.28 and 562.41

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Solution

The fourth proportional to 574.71, 796.28 and 562.41 is: 779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.71 : 796.28 = 562.41 : x
  2. Step 2: Convert to fraction form
    574.71/796.28 = 562.41/x
  3. Step 3: Cross multiply
    574.71x = 796.28 × 562.41
  4. Step 4: Simplify right side
    574.71x = 447,833.02
  5. Step 5: Solve for x
    x = 447,833.02/574.71
  6. Step 6: Final answer
    x = 779.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.