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Finding the Fourth Proportional to 665.20, 998.12 and 376.72

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Solution

The fourth proportional to 665.20, 998.12 and 376.72 is: 565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.20 : 998.12 = 376.72 : x
  2. Step 2: Convert to fraction form
    665.20/998.12 = 376.72/x
  3. Step 3: Cross multiply
    665.20x = 998.12 × 376.72
  4. Step 4: Simplify right side
    665.20x = 376,011.77
  5. Step 5: Solve for x
    x = 376,011.77/665.20
  6. Step 6: Final answer
    x = 565.26

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