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Finding the Fourth Proportional to 574.07, 791.85 and 364.19

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Solution

The fourth proportional to 574.07, 791.85 and 364.19 is: 502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.07 : 791.85 = 364.19 : x
  2. Step 2: Convert to fraction form
    574.07/791.85 = 364.19/x
  3. Step 3: Cross multiply
    574.07x = 791.85 × 364.19
  4. Step 4: Simplify right side
    574.07x = 288,379.89
  5. Step 5: Solve for x
    x = 288,379.89/574.07
  6. Step 6: Final answer
    x = 502.35

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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.