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Finding the Fourth Proportional to 574.60, 792.86 and 496.02

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Solution

The fourth proportional to 574.60, 792.86 and 496.02 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.60 : 792.86 = 496.02 : x
  2. Step 2: Convert to fraction form
    574.60/792.86 = 496.02/x
  3. Step 3: Cross multiply
    574.60x = 792.86 × 496.02
  4. Step 4: Simplify right side
    574.60x = 393,274.42
  5. Step 5: Solve for x
    x = 393,274.42/574.60
  6. Step 6: Final answer
    x = 684.43

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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.