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Finding the Fourth Proportional to 574.35, 792.58 and 353.25

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Solution

The fourth proportional to 574.35, 792.58 and 353.25 is: 487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.35 : 792.58 = 353.25 : x
  2. Step 2: Convert to fraction form
    574.35/792.58 = 353.25/x
  3. Step 3: Cross multiply
    574.35x = 792.58 × 353.25
  4. Step 4: Simplify right side
    574.35x = 279,978.89
  5. Step 5: Solve for x
    x = 279,978.89/574.35
  6. Step 6: Final answer
    x = 487.47

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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.