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Finding the Fourth Proportional to 686.12, 946.82 and 406.29

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Solution

The fourth proportional to 686.12, 946.82 and 406.29 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.12 : 946.82 = 406.29 : x
  2. Step 2: Convert to fraction form
    686.12/946.82 = 406.29/x
  3. Step 3: Cross multiply
    686.12x = 946.82 × 406.29
  4. Step 4: Simplify right side
    686.12x = 384,681.47
  5. Step 5: Solve for x
    x = 384,681.47/686.12
  6. Step 6: Final answer
    x = 560.67

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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.