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Finding the Fourth Proportional to 574.08, 860.42 and 420.66

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Solution

The fourth proportional to 574.08, 860.42 and 420.66 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 860.42 = 420.66 : x
  2. Step 2: Convert to fraction form
    574.08/860.42 = 420.66/x
  3. Step 3: Cross multiply
    574.08x = 860.42 × 420.66
  4. Step 4: Simplify right side
    574.08x = 361,944.28
  5. Step 5: Solve for x
    x = 361,944.28/574.08
  6. Step 6: Final answer
    x = 630.48

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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.