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Finding the Fourth Proportional to 483.71, 726.04 and 376.67

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Solution

The fourth proportional to 483.71, 726.04 and 376.67 is: 565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.71 : 726.04 = 376.67 : x
  2. Step 2: Convert to fraction form
    483.71/726.04 = 376.67/x
  3. Step 3: Cross multiply
    483.71x = 726.04 × 376.67
  4. Step 4: Simplify right side
    483.71x = 273,472.91
  5. Step 5: Solve for x
    x = 273,472.91/483.71
  6. Step 6: Final answer
    x = 565.37

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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.