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Finding the Fourth Proportional to 573.95, 791.71 and 364.03

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Solution

The fourth proportional to 573.95, 791.71 and 364.03 is: 502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.95 : 791.71 = 364.03 : x
  2. Step 2: Convert to fraction form
    573.95/791.71 = 364.03/x
  3. Step 3: Cross multiply
    573.95x = 791.71 × 364.03
  4. Step 4: Simplify right side
    573.95x = 288,203.30
  5. Step 5: Solve for x
    x = 288,203.30/573.95
  6. Step 6: Final answer
    x = 502.14

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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.