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Finding the Fourth Proportional to 686.26, 945.84 and 423.82

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Solution

The fourth proportional to 686.26, 945.84 and 423.82 is: 584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.26 : 945.84 = 423.82 : x
  2. Step 2: Convert to fraction form
    686.26/945.84 = 423.82/x
  3. Step 3: Cross multiply
    686.26x = 945.84 × 423.82
  4. Step 4: Simplify right side
    686.26x = 400,865.91
  5. Step 5: Solve for x
    x = 400,865.91/686.26
  6. Step 6: Final answer
    x = 584.13

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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.