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Finding the Fourth Proportional to 574.16, 792.48 and 338.10

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Solution

The fourth proportional to 574.16, 792.48 and 338.10 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 792.48 = 338.10 : x
  2. Step 2: Convert to fraction form
    574.16/792.48 = 338.10/x
  3. Step 3: Cross multiply
    574.16x = 792.48 × 338.10
  4. Step 4: Simplify right side
    574.16x = 267,937.49
  5. Step 5: Solve for x
    x = 267,937.49/574.16
  6. Step 6: Final answer
    x = 466.66

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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.