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Finding the Fourth Proportional to 574, 791.90 and 364.09

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Solution

The fourth proportional to 574, 791.90 and 364.09 is: 502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 791.90 = 364.09 : x
  2. Step 2: Convert to fraction form
    574/791.90 = 364.09/x
  3. Step 3: Cross multiply
    574x = 791.90 × 364.09
  4. Step 4: Simplify right side
    574x = 288,322.87
  5. Step 5: Solve for x
    x = 288,322.87/574
  6. Step 6: Final answer
    x = 502.30

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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.