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Finding the Fourth Proportional to 666.45, 919.73 and 371.77

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Solution

The fourth proportional to 666.45, 919.73 and 371.77 is: 513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.45 : 919.73 = 371.77 : x
  2. Step 2: Convert to fraction form
    666.45/919.73 = 371.77/x
  3. Step 3: Cross multiply
    666.45x = 919.73 × 371.77
  4. Step 4: Simplify right side
    666.45x = 341,928.02
  5. Step 5: Solve for x
    x = 341,928.02/666.45
  6. Step 6: Final answer
    x = 513.06

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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.