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Finding the Fourth Proportional to 699.31, 963.86 and 477.88

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Solution

The fourth proportional to 699.31, 963.86 and 477.88 is: 658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.31 : 963.86 = 477.88 : x
  2. Step 2: Convert to fraction form
    699.31/963.86 = 477.88/x
  3. Step 3: Cross multiply
    699.31x = 963.86 × 477.88
  4. Step 4: Simplify right side
    699.31x = 460,604.62
  5. Step 5: Solve for x
    x = 460,604.62/699.31
  6. Step 6: Final answer
    x = 658.66

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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.