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Finding the Fourth Proportional to 376.50, 517.83 and 302.70

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Solution

The fourth proportional to 376.50, 517.83 and 302.70 is: 416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.50 : 517.83 = 302.70 : x
  2. Step 2: Convert to fraction form
    376.50/517.83 = 302.70/x
  3. Step 3: Cross multiply
    376.50x = 517.83 × 302.70
  4. Step 4: Simplify right side
    376.50x = 156,747.14
  5. Step 5: Solve for x
    x = 156,747.14/376.50
  6. Step 6: Final answer
    x = 416.33

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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.