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Finding the Fourth Proportional to 667.06, 920.92 and 446.74

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Solution

The fourth proportional to 667.06, 920.92 and 446.74 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.06 : 920.92 = 446.74 : x
  2. Step 2: Convert to fraction form
    667.06/920.92 = 446.74/x
  3. Step 3: Cross multiply
    667.06x = 920.92 × 446.74
  4. Step 4: Simplify right side
    667.06x = 411,406.08
  5. Step 5: Solve for x
    x = 411,406.08/667.06
  6. Step 6: Final answer
    x = 616.75

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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.