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Finding the Fourth Proportional to 613.95, 920.94 and 203.10

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Solution

The fourth proportional to 613.95, 920.94 and 203.10 is: 304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.95 : 920.94 = 203.10 : x
  2. Step 2: Convert to fraction form
    613.95/920.94 = 203.10/x
  3. Step 3: Cross multiply
    613.95x = 920.94 × 203.10
  4. Step 4: Simplify right side
    613.95x = 187,042.91
  5. Step 5: Solve for x
    x = 187,042.91/613.95
  6. Step 6: Final answer
    x = 304.65

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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.