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Finding the Fourth Proportional to 574.27, 792.28 and 364.39

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Solution

The fourth proportional to 574.27, 792.28 and 364.39 is: 502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.27 : 792.28 = 364.39 : x
  2. Step 2: Convert to fraction form
    574.27/792.28 = 364.39/x
  3. Step 3: Cross multiply
    574.27x = 792.28 × 364.39
  4. Step 4: Simplify right side
    574.27x = 288,698.91
  5. Step 5: Solve for x
    x = 288,698.91/574.27
  6. Step 6: Final answer
    x = 502.72

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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.