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Finding the Fourth Proportional to 574.53, 792.80 and 353.54

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Solution

The fourth proportional to 574.53, 792.80 and 353.54 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.53 : 792.80 = 353.54 : x
  2. Step 2: Convert to fraction form
    574.53/792.80 = 353.54/x
  3. Step 3: Cross multiply
    574.53x = 792.80 × 353.54
  4. Step 4: Simplify right side
    574.53x = 280,280.78
  5. Step 5: Solve for x
    x = 280,280.78/574.53
  6. Step 6: Final answer
    x = 487.84

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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.