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Finding the Fourth Proportional to 612.73, 845.21 and 446.75

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Solution

The fourth proportional to 612.73, 845.21 and 446.75 is: 616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.73 : 845.21 = 446.75 : x
  2. Step 2: Convert to fraction form
    612.73/845.21 = 446.75/x
  3. Step 3: Cross multiply
    612.73x = 845.21 × 446.75
  4. Step 4: Simplify right side
    612.73x = 377,594.46
  5. Step 5: Solve for x
    x = 377,594.46/612.73
  6. Step 6: Final answer
    x = 616.25

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Why These Related Problems?

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