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Finding the Fourth Proportional to 574.08, 860.22 and 343.08

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Solution

The fourth proportional to 574.08, 860.22 and 343.08 is: 514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 860.22 = 343.08 : x
  2. Step 2: Convert to fraction form
    574.08/860.22 = 343.08/x
  3. Step 3: Cross multiply
    574.08x = 860.22 × 343.08
  4. Step 4: Simplify right side
    574.08x = 295,124.28
  5. Step 5: Solve for x
    x = 295,124.28/574.08
  6. Step 6: Final answer
    x = 514.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.