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Finding the Fourth Proportional to 668.19, 922.17 and 406.35

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Solution

The fourth proportional to 668.19, 922.17 and 406.35 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.19 : 922.17 = 406.35 : x
  2. Step 2: Convert to fraction form
    668.19/922.17 = 406.35/x
  3. Step 3: Cross multiply
    668.19x = 922.17 × 406.35
  4. Step 4: Simplify right side
    668.19x = 374,723.78
  5. Step 5: Solve for x
    x = 374,723.78/668.19
  6. Step 6: Final answer
    x = 560.80

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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.