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Finding the Fourth Proportional to 613.61, 919.45 and 428.33

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Solution

The fourth proportional to 613.61, 919.45 and 428.33 is: 641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.61 : 919.45 = 428.33 : x
  2. Step 2: Convert to fraction form
    613.61/919.45 = 428.33/x
  3. Step 3: Cross multiply
    613.61x = 919.45 × 428.33
  4. Step 4: Simplify right side
    613.61x = 393,828.02
  5. Step 5: Solve for x
    x = 393,828.02/613.61
  6. Step 6: Final answer
    x = 641.82

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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.