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Finding the Fourth Proportional to 672.22, 927.66 and 406.68

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Solution

The fourth proportional to 672.22, 927.66 and 406.68 is: 561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.22 : 927.66 = 406.68 : x
  2. Step 2: Convert to fraction form
    672.22/927.66 = 406.68/x
  3. Step 3: Cross multiply
    672.22x = 927.66 × 406.68
  4. Step 4: Simplify right side
    672.22x = 377,260.77
  5. Step 5: Solve for x
    x = 377,260.77/672.22
  6. Step 6: Final answer
    x = 561.22

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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.