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Finding the Fourth Proportional to 612.62, 845.42 and 332.85

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Solution

The fourth proportional to 612.62, 845.42 and 332.85 is: 459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.62 : 845.42 = 332.85 : x
  2. Step 2: Convert to fraction form
    612.62/845.42 = 332.85/x
  3. Step 3: Cross multiply
    612.62x = 845.42 × 332.85
  4. Step 4: Simplify right side
    612.62x = 281,398.05
  5. Step 5: Solve for x
    x = 281,398.05/612.62
  6. Step 6: Final answer
    x = 459.34

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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.