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Finding the Fourth Proportional to 574.44, 792.96 and 364.92

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Solution

The fourth proportional to 574.44, 792.96 and 364.92 is: 503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.44 : 792.96 = 364.92 : x
  2. Step 2: Convert to fraction form
    574.44/792.96 = 364.92/x
  3. Step 3: Cross multiply
    574.44x = 792.96 × 364.92
  4. Step 4: Simplify right side
    574.44x = 289,366.96
  5. Step 5: Solve for x
    x = 289,366.96/574.44
  6. Step 6: Final answer
    x = 503.74

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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.