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Finding the Fourth Proportional to 686.88, 947.92 and 376.36

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Solution

The fourth proportional to 686.88, 947.92 and 376.36 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 947.92 = 376.36 : x
  2. Step 2: Convert to fraction form
    686.88/947.92 = 376.36/x
  3. Step 3: Cross multiply
    686.88x = 947.92 × 376.36
  4. Step 4: Simplify right side
    686.88x = 356,759.17
  5. Step 5: Solve for x
    x = 356,759.17/686.88
  6. Step 6: Final answer
    x = 519.39

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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.