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Finding the Fourth Proportional to 573.99, 791.35 and 468.97

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Solution

The fourth proportional to 573.99, 791.35 and 468.97 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.99 : 791.35 = 468.97 : x
  2. Step 2: Convert to fraction form
    573.99/791.35 = 468.97/x
  3. Step 3: Cross multiply
    573.99x = 791.35 × 468.97
  4. Step 4: Simplify right side
    573.99x = 371,119.41
  5. Step 5: Solve for x
    x = 371,119.41/573.99
  6. Step 6: Final answer
    x = 646.56

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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.