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Finding the Fourth Proportional to 612.74, 845.42 and 437.78

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Solution

The fourth proportional to 612.74, 845.42 and 437.78 is: 604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 845.42 = 437.78 : x
  2. Step 2: Convert to fraction form
    612.74/845.42 = 437.78/x
  3. Step 3: Cross multiply
    612.74x = 845.42 × 437.78
  4. Step 4: Simplify right side
    612.74x = 370,107.97
  5. Step 5: Solve for x
    x = 370,107.97/612.74
  6. Step 6: Final answer
    x = 604.02

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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.