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Finding the Fourth Proportional to 665.74, 919.02 and 455.86

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Solution

The fourth proportional to 665.74, 919.02 and 455.86 is: 629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.74 : 919.02 = 455.86 : x
  2. Step 2: Convert to fraction form
    665.74/919.02 = 455.86/x
  3. Step 3: Cross multiply
    665.74x = 919.02 × 455.86
  4. Step 4: Simplify right side
    665.74x = 418,944.46
  5. Step 5: Solve for x
    x = 418,944.46/665.74
  6. Step 6: Final answer
    x = 629.29

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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.