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Finding the Fourth Proportional to 573.95, 791.97 and 341.08

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Solution

The fourth proportional to 573.95, 791.97 and 341.08 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.95 : 791.97 = 341.08 : x
  2. Step 2: Convert to fraction form
    573.95/791.97 = 341.08/x
  3. Step 3: Cross multiply
    573.95x = 791.97 × 341.08
  4. Step 4: Simplify right side
    573.95x = 270,125.13
  5. Step 5: Solve for x
    x = 270,125.13/573.95
  6. Step 6: Final answer
    x = 470.64

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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.