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Finding the Fourth Proportional to 617.25, 925.81 and 206.34

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Solution

The fourth proportional to 617.25, 925.81 and 206.34 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 925.81 = 206.34 : x
  2. Step 2: Convert to fraction form
    617.25/925.81 = 206.34/x
  3. Step 3: Cross multiply
    617.25x = 925.81 × 206.34
  4. Step 4: Simplify right side
    617.25x = 191,031.64
  5. Step 5: Solve for x
    x = 191,031.64/617.25
  6. Step 6: Final answer
    x = 309.49

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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.