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Finding the Fourth Proportional to 574.75, 793.16 and 341.88

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Solution

The fourth proportional to 574.75, 793.16 and 341.88 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.75 : 793.16 = 341.88 : x
  2. Step 2: Convert to fraction form
    574.75/793.16 = 341.88/x
  3. Step 3: Cross multiply
    574.75x = 793.16 × 341.88
  4. Step 4: Simplify right side
    574.75x = 271,165.54
  5. Step 5: Solve for x
    x = 271,165.54/574.75
  6. Step 6: Final answer
    x = 471.80

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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.