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Finding the Fourth Proportional to 574.68, 793.10 and 341.80

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Solution

The fourth proportional to 574.68, 793.10 and 341.80 is: 471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 793.10 = 341.80 : x
  2. Step 2: Convert to fraction form
    574.68/793.10 = 341.80/x
  3. Step 3: Cross multiply
    574.68x = 793.10 × 341.80
  4. Step 4: Simplify right side
    574.68x = 271,081.58
  5. Step 5: Solve for x
    x = 271,081.58/574.68
  6. Step 6: Final answer
    x = 471.71

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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.