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Finding the Fourth Proportional to 667.46, 920.97 and 401.83

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Solution

The fourth proportional to 667.46, 920.97 and 401.83 is: 554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.46 : 920.97 = 401.83 : x
  2. Step 2: Convert to fraction form
    667.46/920.97 = 401.83/x
  3. Step 3: Cross multiply
    667.46x = 920.97 × 401.83
  4. Step 4: Simplify right side
    667.46x = 370,071.07
  5. Step 5: Solve for x
    x = 370,071.07/667.46
  6. Step 6: Final answer
    x = 554.44

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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.