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Finding the Fourth Proportional to 574.25, 791.78 and 468.95

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Solution

The fourth proportional to 574.25, 791.78 and 468.95 is: 646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.25 : 791.78 = 468.95 : x
  2. Step 2: Convert to fraction form
    574.25/791.78 = 468.95/x
  3. Step 3: Cross multiply
    574.25x = 791.78 × 468.95
  4. Step 4: Simplify right side
    574.25x = 371,298.93
  5. Step 5: Solve for x
    x = 371,298.93/574.25
  6. Step 6: Final answer
    x = 646.59

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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.