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Finding the Fourth Proportional to 612.89, 845.78 and 333.13

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Solution

The fourth proportional to 612.89, 845.78 and 333.13 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.89 : 845.78 = 333.13 : x
  2. Step 2: Convert to fraction form
    612.89/845.78 = 333.13/x
  3. Step 3: Cross multiply
    612.89x = 845.78 × 333.13
  4. Step 4: Simplify right side
    612.89x = 281,754.37
  5. Step 5: Solve for x
    x = 281,754.37/612.89
  6. Step 6: Final answer
    x = 459.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.