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Finding the Fourth Proportional to 686.23, 946.84 and 406.47

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Solution

The fourth proportional to 686.23, 946.84 and 406.47 is: 560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.23 : 946.84 = 406.47 : x
  2. Step 2: Convert to fraction form
    686.23/946.84 = 406.47/x
  3. Step 3: Cross multiply
    686.23x = 946.84 × 406.47
  4. Step 4: Simplify right side
    686.23x = 384,862.05
  5. Step 5: Solve for x
    x = 384,862.05/686.23
  6. Step 6: Final answer
    x = 560.84

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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.