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Finding the Fourth Proportional to 668.26, 922.95 and 446.83

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Solution

The fourth proportional to 668.26, 922.95 and 446.83 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.26 : 922.95 = 446.83 : x
  2. Step 2: Convert to fraction form
    668.26/922.95 = 446.83/x
  3. Step 3: Cross multiply
    668.26x = 922.95 × 446.83
  4. Step 4: Simplify right side
    668.26x = 412,401.75
  5. Step 5: Solve for x
    x = 412,401.75/668.26
  6. Step 6: Final answer
    x = 617.13

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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.