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Finding the Fourth Proportional to 612.83, 845.70 and 333.06

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Solution

The fourth proportional to 612.83, 845.70 and 333.06 is: 459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.83 : 845.70 = 333.06 : x
  2. Step 2: Convert to fraction form
    612.83/845.70 = 333.06/x
  3. Step 3: Cross multiply
    612.83x = 845.70 × 333.06
  4. Step 4: Simplify right side
    612.83x = 281,670.09
  5. Step 5: Solve for x
    x = 281,670.09/612.83
  6. Step 6: Final answer
    x = 459.63

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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.