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Finding the Fourth Proportional to 574.24, 792.24 and 367.36

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Solution

The fourth proportional to 574.24, 792.24 and 367.36 is: 506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 792.24 = 367.36 : x
  2. Step 2: Convert to fraction form
    574.24/792.24 = 367.36/x
  3. Step 3: Cross multiply
    574.24x = 792.24 × 367.36
  4. Step 4: Simplify right side
    574.24x = 291,037.29
  5. Step 5: Solve for x
    x = 291,037.29/574.24
  6. Step 6: Final answer
    x = 506.82

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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.