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Finding the Fourth Proportional to 574.16, 792.09 and 341.28

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Solution

The fourth proportional to 574.16, 792.09 and 341.28 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 792.09 = 341.28 : x
  2. Step 2: Convert to fraction form
    574.16/792.09 = 341.28/x
  3. Step 3: Cross multiply
    574.16x = 792.09 × 341.28
  4. Step 4: Simplify right side
    574.16x = 270,324.48
  5. Step 5: Solve for x
    x = 270,324.48/574.16
  6. Step 6: Final answer
    x = 470.82

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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.