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Finding the Fourth Proportional to 574.29, 792.26 and 353.16

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Solution

The fourth proportional to 574.29, 792.26 and 353.16 is: 487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.29 : 792.26 = 353.16 : x
  2. Step 2: Convert to fraction form
    574.29/792.26 = 353.16/x
  3. Step 3: Cross multiply
    574.29x = 792.26 × 353.16
  4. Step 4: Simplify right side
    574.29x = 279,790.58
  5. Step 5: Solve for x
    x = 279,790.58/574.29
  6. Step 6: Final answer
    x = 487.20

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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.