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Finding the Fourth Proportional to 613.95, 920.97 and 203.22

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Solution

The fourth proportional to 613.95, 920.97 and 203.22 is: 304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.95 : 920.97 = 203.22 : x
  2. Step 2: Convert to fraction form
    613.95/920.97 = 203.22/x
  3. Step 3: Cross multiply
    613.95x = 920.97 × 203.22
  4. Step 4: Simplify right side
    613.95x = 187,159.52
  5. Step 5: Solve for x
    x = 187,159.52/613.95
  6. Step 6: Final answer
    x = 304.84

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