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Finding the Fourth Proportional to 664.72, 997.16 and 376.16

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Solution

The fourth proportional to 664.72, 997.16 and 376.16 is: 564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.72 : 997.16 = 376.16 : x
  2. Step 2: Convert to fraction form
    664.72/997.16 = 376.16/x
  3. Step 3: Cross multiply
    664.72x = 997.16 × 376.16
  4. Step 4: Simplify right side
    664.72x = 375,091.71
  5. Step 5: Solve for x
    x = 375,091.71/664.72
  6. Step 6: Final answer
    x = 564.29

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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.