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Finding the Fourth Proportional to 574.66, 792.74 and 353.26

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Solution

The fourth proportional to 574.66, 792.74 and 353.26 is: 487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.66 : 792.74 = 353.26 : x
  2. Step 2: Convert to fraction form
    574.66/792.74 = 353.26/x
  3. Step 3: Cross multiply
    574.66x = 792.74 × 353.26
  4. Step 4: Simplify right side
    574.66x = 280,037.60
  5. Step 5: Solve for x
    x = 280,037.60/574.66
  6. Step 6: Final answer
    x = 487.31

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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.