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Finding the Fourth Proportional to 613.75, 920.65 and 271.75

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Solution

The fourth proportional to 613.75, 920.65 and 271.75 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.75 : 920.65 = 271.75 : x
  2. Step 2: Convert to fraction form
    613.75/920.65 = 271.75/x
  3. Step 3: Cross multiply
    613.75x = 920.65 × 271.75
  4. Step 4: Simplify right side
    613.75x = 250,185.28
  5. Step 5: Solve for x
    x = 250,185.28/613.75
  6. Step 6: Final answer
    x = 407.63

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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.