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Finding the Fourth Proportional to 573.77, 791.66 and 349.71

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Solution

The fourth proportional to 573.77, 791.66 and 349.71 is: 482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.77 : 791.66 = 349.71 : x
  2. Step 2: Convert to fraction form
    573.77/791.66 = 349.71/x
  3. Step 3: Cross multiply
    573.77x = 791.66 × 349.71
  4. Step 4: Simplify right side
    573.77x = 276,851.42
  5. Step 5: Solve for x
    x = 276,851.42/573.77
  6. Step 6: Final answer
    x = 482.51

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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.