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Finding the Fourth Proportional to 698.66, 964.09 and 403.94

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Solution

The fourth proportional to 698.66, 964.09 and 403.94 is: 557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.66 : 964.09 = 403.94 : x
  2. Step 2: Convert to fraction form
    698.66/964.09 = 403.94/x
  3. Step 3: Cross multiply
    698.66x = 964.09 × 403.94
  4. Step 4: Simplify right side
    698.66x = 389,436.92
  5. Step 5: Solve for x
    x = 389,436.92/698.66
  6. Step 6: Final answer
    x = 557.41

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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.