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Finding the Fourth Proportional to 664.42, 996.90 and 356.26

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Solution

The fourth proportional to 664.42, 996.90 and 356.26 is: 534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.42 : 996.90 = 356.26 : x
  2. Step 2: Convert to fraction form
    664.42/996.90 = 356.26/x
  3. Step 3: Cross multiply
    664.42x = 996.90 × 356.26
  4. Step 4: Simplify right side
    664.42x = 355,155.59
  5. Step 5: Solve for x
    x = 355,155.59/664.42
  6. Step 6: Final answer
    x = 534.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.