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Finding the Fourth Proportional to 665.96, 919.16 and 444.92

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Solution

The fourth proportional to 665.96, 919.16 and 444.92 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 919.16 = 444.92 : x
  2. Step 2: Convert to fraction form
    665.96/919.16 = 444.92/x
  3. Step 3: Cross multiply
    665.96x = 919.16 × 444.92
  4. Step 4: Simplify right side
    665.96x = 408,952.67
  5. Step 5: Solve for x
    x = 408,952.67/665.96
  6. Step 6: Final answer
    x = 614.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.