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Finding the Fourth Proportional to 574.01, 792.15 and 337.98

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Solution

The fourth proportional to 574.01, 792.15 and 337.98 is: 466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.01 : 792.15 = 337.98 : x
  2. Step 2: Convert to fraction form
    574.01/792.15 = 337.98/x
  3. Step 3: Cross multiply
    574.01x = 792.15 × 337.98
  4. Step 4: Simplify right side
    574.01x = 267,730.86
  5. Step 5: Solve for x
    x = 267,730.86/574.01
  6. Step 6: Final answer
    x = 466.42

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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.