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Finding the Fourth Proportional to 574.40, 792.34 and 341.48

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Solution

The fourth proportional to 574.40, 792.34 and 341.48 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.40 : 792.34 = 341.48 : x
  2. Step 2: Convert to fraction form
    574.40/792.34 = 341.48/x
  3. Step 3: Cross multiply
    574.40x = 792.34 × 341.48
  4. Step 4: Simplify right side
    574.40x = 270,568.26
  5. Step 5: Solve for x
    x = 270,568.26/574.40
  6. Step 6: Final answer
    x = 471.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.