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Finding the Fourth Proportional to 686.80, 947.77 and 376.30

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Solution

The fourth proportional to 686.80, 947.77 and 376.30 is: 519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 947.77 = 376.30 : x
  2. Step 2: Convert to fraction form
    686.80/947.77 = 376.30/x
  3. Step 3: Cross multiply
    686.80x = 947.77 × 376.30
  4. Step 4: Simplify right side
    686.80x = 356,645.85
  5. Step 5: Solve for x
    x = 356,645.85/686.80
  6. Step 6: Final answer
    x = 519.29

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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.