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Finding the Fourth Proportional to 665.26, 997.84 and 300.06

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Solution

The fourth proportional to 665.26, 997.84 and 300.06 is: 450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.26 : 997.84 = 300.06 : x
  2. Step 2: Convert to fraction form
    665.26/997.84 = 300.06/x
  3. Step 3: Cross multiply
    665.26x = 997.84 × 300.06
  4. Step 4: Simplify right side
    665.26x = 299,411.87
  5. Step 5: Solve for x
    x = 299,411.87/665.26
  6. Step 6: Final answer
    x = 450.07

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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.