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Finding the Fourth Proportional to 574, 792.16 and 341.28

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Solution

The fourth proportional to 574, 792.16 and 341.28 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 792.16 = 341.28 : x
  2. Step 2: Convert to fraction form
    574/792.16 = 341.28/x
  3. Step 3: Cross multiply
    574x = 792.16 × 341.28
  4. Step 4: Simplify right side
    574x = 270,348.36
  5. Step 5: Solve for x
    x = 270,348.36/574
  6. Step 6: Final answer
    x = 470.99

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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.