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Finding the Fourth Proportional to 665.62, 919.29 and 444.58

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Solution

The fourth proportional to 665.62, 919.29 and 444.58 is: 614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.62 : 919.29 = 444.58 : x
  2. Step 2: Convert to fraction form
    665.62/919.29 = 444.58/x
  3. Step 3: Cross multiply
    665.62x = 919.29 × 444.58
  4. Step 4: Simplify right side
    665.62x = 408,697.95
  5. Step 5: Solve for x
    x = 408,697.95/665.62
  6. Step 6: Final answer
    x = 614.01

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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.