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Finding the Fourth Proportional to 376.50, 519.17 and 264.57

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Solution

The fourth proportional to 376.50, 519.17 and 264.57 is: 364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.50 : 519.17 = 264.57 : x
  2. Step 2: Convert to fraction form
    376.50/519.17 = 264.57/x
  3. Step 3: Cross multiply
    376.50x = 519.17 × 264.57
  4. Step 4: Simplify right side
    376.50x = 137,355.48
  5. Step 5: Solve for x
    x = 137,355.48/376.50
  6. Step 6: Final answer
    x = 364.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.