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Finding the Fourth Proportional to 694.66, 958.73 and 446.69

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Solution

The fourth proportional to 694.66, 958.73 and 446.69 is: 616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.66 : 958.73 = 446.69 : x
  2. Step 2: Convert to fraction form
    694.66/958.73 = 446.69/x
  3. Step 3: Cross multiply
    694.66x = 958.73 × 446.69
  4. Step 4: Simplify right side
    694.66x = 428,248.08
  5. Step 5: Solve for x
    x = 428,248.08/694.66
  6. Step 6: Final answer
    x = 616.49

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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.