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Finding the Fourth Proportional to 694.95, 959.24 and 400.41

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Solution

The fourth proportional to 694.95, 959.24 and 400.41 is: 552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.95 : 959.24 = 400.41 : x
  2. Step 2: Convert to fraction form
    694.95/959.24 = 400.41/x
  3. Step 3: Cross multiply
    694.95x = 959.24 × 400.41
  4. Step 4: Simplify right side
    694.95x = 384,087.29
  5. Step 5: Solve for x
    x = 384,087.29/694.95
  6. Step 6: Final answer
    x = 552.68

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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.