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Finding the Fourth Proportional to 574.81, 862.72 and 380.41

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Solution

The fourth proportional to 574.81, 862.72 and 380.41 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.81 : 862.72 = 380.41 : x
  2. Step 2: Convert to fraction form
    574.81/862.72 = 380.41/x
  3. Step 3: Cross multiply
    574.81x = 862.72 × 380.41
  4. Step 4: Simplify right side
    574.81x = 328,184.21
  5. Step 5: Solve for x
    x = 328,184.21/574.81
  6. Step 6: Final answer
    x = 570.95

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Why These Related Problems?

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