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Finding the Fourth Proportional to 574.46, 792.74 and 338.42

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Solution

The fourth proportional to 574.46, 792.74 and 338.42 is: 467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 792.74 = 338.42 : x
  2. Step 2: Convert to fraction form
    574.46/792.74 = 338.42/x
  3. Step 3: Cross multiply
    574.46x = 792.74 × 338.42
  4. Step 4: Simplify right side
    574.46x = 268,279.07
  5. Step 5: Solve for x
    x = 268,279.07/574.46
  6. Step 6: Final answer
    x = 467.01

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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.