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Finding the Fourth Proportional to 666, 919.54 and 445.20

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Solution

The fourth proportional to 666, 919.54 and 445.20 is: 614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666 : 919.54 = 445.20 : x
  2. Step 2: Convert to fraction form
    666/919.54 = 445.20/x
  3. Step 3: Cross multiply
    666x = 919.54 × 445.20
  4. Step 4: Simplify right side
    666x = 409,379.21
  5. Step 5: Solve for x
    x = 409,379.21/666
  6. Step 6: Final answer
    x = 614.68

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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.