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Finding the Fourth Proportional to 694.47, 958.17 and 410.83

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Solution

The fourth proportional to 694.47, 958.17 and 410.83 is: 566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.47 : 958.17 = 410.83 : x
  2. Step 2: Convert to fraction form
    694.47/958.17 = 410.83/x
  3. Step 3: Cross multiply
    694.47x = 958.17 × 410.83
  4. Step 4: Simplify right side
    694.47x = 393,644.98
  5. Step 5: Solve for x
    x = 393,644.98/694.47
  6. Step 6: Final answer
    x = 566.83

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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.