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Finding the Fourth Proportional to 686.83, 947.36 and 438.46

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Solution

The fourth proportional to 686.83, 947.36 and 438.46 is: 604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.83 : 947.36 = 438.46 : x
  2. Step 2: Convert to fraction form
    686.83/947.36 = 438.46/x
  3. Step 3: Cross multiply
    686.83x = 947.36 × 438.46
  4. Step 4: Simplify right side
    686.83x = 415,374.73
  5. Step 5: Solve for x
    x = 415,374.73/686.83
  6. Step 6: Final answer
    x = 604.78

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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.