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Finding the Fourth Proportional to 668.16, 922.08 and 446.88

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Solution

The fourth proportional to 668.16, 922.08 and 446.88 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 922.08 = 446.88 : x
  2. Step 2: Convert to fraction form
    668.16/922.08 = 446.88/x
  3. Step 3: Cross multiply
    668.16x = 922.08 × 446.88
  4. Step 4: Simplify right side
    668.16x = 412,059.11
  5. Step 5: Solve for x
    x = 412,059.11/668.16
  6. Step 6: Final answer
    x = 616.71

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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.