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Finding the Fourth Proportional to 574.74, 860.67 and 453.66

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Solution

The fourth proportional to 574.74, 860.67 and 453.66 is: 679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.74 : 860.67 = 453.66 : x
  2. Step 2: Convert to fraction form
    574.74/860.67 = 453.66/x
  3. Step 3: Cross multiply
    574.74x = 860.67 × 453.66
  4. Step 4: Simplify right side
    574.74x = 390,451.55
  5. Step 5: Solve for x
    x = 390,451.55/574.74
  6. Step 6: Final answer
    x = 679.35

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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.