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Finding the Fourth Proportional to 574.29, 792.86 and 408.47

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Solution

The fourth proportional to 574.29, 792.86 and 408.47 is: 563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.29 : 792.86 = 408.47 : x
  2. Step 2: Convert to fraction form
    574.29/792.86 = 408.47/x
  3. Step 3: Cross multiply
    574.29x = 792.86 × 408.47
  4. Step 4: Simplify right side
    574.29x = 323,853.52
  5. Step 5: Solve for x
    x = 323,853.52/574.29
  6. Step 6: Final answer
    x = 563.92

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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.