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Finding the Fourth Proportional to 617.51, 925.66 and 206.44

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Solution

The fourth proportional to 617.51, 925.66 and 206.44 is: 309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.51 : 925.66 = 206.44 : x
  2. Step 2: Convert to fraction form
    617.51/925.66 = 206.44/x
  3. Step 3: Cross multiply
    617.51x = 925.66 × 206.44
  4. Step 4: Simplify right side
    617.51x = 191,093.25
  5. Step 5: Solve for x
    x = 191,093.25/617.51
  6. Step 6: Final answer
    x = 309.46

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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.