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Finding the Fourth Proportional to 665.97, 919.44 and 417.66

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Solution

The fourth proportional to 665.97, 919.44 and 417.66 is: 576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.97 : 919.44 = 417.66 : x
  2. Step 2: Convert to fraction form
    665.97/919.44 = 417.66/x
  3. Step 3: Cross multiply
    665.97x = 919.44 × 417.66
  4. Step 4: Simplify right side
    665.97x = 384,013.31
  5. Step 5: Solve for x
    x = 384,013.31/665.97
  6. Step 6: Final answer
    x = 576.62

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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.