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Finding the Fourth Proportional to 666.12, 919.22 and 417.26

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Solution

The fourth proportional to 666.12, 919.22 and 417.26 is: 575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.12 : 919.22 = 417.26 : x
  2. Step 2: Convert to fraction form
    666.12/919.22 = 417.26/x
  3. Step 3: Cross multiply
    666.12x = 919.22 × 417.26
  4. Step 4: Simplify right side
    666.12x = 383,553.74
  5. Step 5: Solve for x
    x = 383,553.74/666.12
  6. Step 6: Final answer
    x = 575.80

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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.