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Finding the Fourth Proportional to 685.24, 944.94 and 452.44

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Solution

The fourth proportional to 685.24, 944.94 and 452.44 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 944.94 = 452.44 : x
  2. Step 2: Convert to fraction form
    685.24/944.94 = 452.44/x
  3. Step 3: Cross multiply
    685.24x = 944.94 × 452.44
  4. Step 4: Simplify right side
    685.24x = 427,528.65
  5. Step 5: Solve for x
    x = 427,528.65/685.24
  6. Step 6: Final answer
    x = 623.91

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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.