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Finding the Fourth Proportional to 662.32, 913.26 and 452.44

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Solution

The fourth proportional to 662.32, 913.26 and 452.44 is: 623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 913.26 = 452.44 : x
  2. Step 2: Convert to fraction form
    662.32/913.26 = 452.44/x
  3. Step 3: Cross multiply
    662.32x = 913.26 × 452.44
  4. Step 4: Simplify right side
    662.32x = 413,195.35
  5. Step 5: Solve for x
    x = 413,195.35/662.32
  6. Step 6: Final answer
    x = 623.86

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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.