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Finding the Fourth Proportional to 664.32, 997.06 and 356.42

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Solution

The fourth proportional to 664.32, 997.06 and 356.42 is: 534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 997.06 = 356.42 : x
  2. Step 2: Convert to fraction form
    664.32/997.06 = 356.42/x
  3. Step 3: Cross multiply
    664.32x = 997.06 × 356.42
  4. Step 4: Simplify right side
    664.32x = 355,372.13
  5. Step 5: Solve for x
    x = 355,372.13/664.32
  6. Step 6: Final answer
    x = 534.94

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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.