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Finding the Fourth Proportional to 574.62, 796.34 and 567.96

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Solution

The fourth proportional to 574.62, 796.34 and 567.96 is: 787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.62 : 796.34 = 567.96 : x
  2. Step 2: Convert to fraction form
    574.62/796.34 = 567.96/x
  3. Step 3: Cross multiply
    574.62x = 796.34 × 567.96
  4. Step 4: Simplify right side
    574.62x = 452,289.27
  5. Step 5: Solve for x
    x = 452,289.27/574.62
  6. Step 6: Final answer
    x = 787.11

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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.