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Finding the Fourth Proportional to 483.15, 726.34 and 381.66

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Solution

The fourth proportional to 483.15, 726.34 and 381.66 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.15 : 726.34 = 381.66 : x
  2. Step 2: Convert to fraction form
    483.15/726.34 = 381.66/x
  3. Step 3: Cross multiply
    483.15x = 726.34 × 381.66
  4. Step 4: Simplify right side
    483.15x = 277,214.92
  5. Step 5: Solve for x
    x = 277,214.92/483.15
  6. Step 6: Final answer
    x = 573.77

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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.