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Finding the Fourth Proportional to 574.14, 792.05 and 341.13

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Solution

The fourth proportional to 574.14, 792.05 and 341.13 is: 470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.14 : 792.05 = 341.13 : x
  2. Step 2: Convert to fraction form
    574.14/792.05 = 341.13/x
  3. Step 3: Cross multiply
    574.14x = 792.05 × 341.13
  4. Step 4: Simplify right side
    574.14x = 270,188.06
  5. Step 5: Solve for x
    x = 270,188.06/574.14
  6. Step 6: Final answer
    x = 470.60

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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.