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Finding the Fourth Proportional to 574.16, 792.34 and 338.06

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Solution

The fourth proportional to 574.16, 792.34 and 338.06 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 792.34 = 338.06 : x
  2. Step 2: Convert to fraction form
    574.16/792.34 = 338.06/x
  3. Step 3: Cross multiply
    574.16x = 792.34 × 338.06
  4. Step 4: Simplify right side
    574.16x = 267,858.46
  5. Step 5: Solve for x
    x = 267,858.46/574.16
  6. Step 6: Final answer
    x = 466.52

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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.