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Finding the Fourth Proportional to 574.46, 791.64 and 469.82

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Solution

The fourth proportional to 574.46, 791.64 and 469.82 is: 647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 791.64 = 469.82 : x
  2. Step 2: Convert to fraction form
    574.46/791.64 = 469.82/x
  3. Step 3: Cross multiply
    574.46x = 791.64 × 469.82
  4. Step 4: Simplify right side
    574.46x = 371,928.30
  5. Step 5: Solve for x
    x = 371,928.30/574.46
  6. Step 6: Final answer
    x = 647.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.