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Finding the Fourth Proportional to 462.82, 694.14 and 206.26

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Solution

The fourth proportional to 462.82, 694.14 and 206.26 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.82 : 694.14 = 206.26 : x
  2. Step 2: Convert to fraction form
    462.82/694.14 = 206.26/x
  3. Step 3: Cross multiply
    462.82x = 694.14 × 206.26
  4. Step 4: Simplify right side
    462.82x = 143,173.32
  5. Step 5: Solve for x
    x = 143,173.32/462.82
  6. Step 6: Final answer
    x = 309.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.