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Finding the Fourth Proportional to 613.35, 920.08 and 174.61

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Solution

The fourth proportional to 613.35, 920.08 and 174.61 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.35 : 920.08 = 174.61 : x
  2. Step 2: Convert to fraction form
    613.35/920.08 = 174.61/x
  3. Step 3: Cross multiply
    613.35x = 920.08 × 174.61
  4. Step 4: Simplify right side
    613.35x = 160,656.54
  5. Step 5: Solve for x
    x = 160,656.54/613.35
  6. Step 6: Final answer
    x = 261.93

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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.