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Finding the Fourth Proportional to 666.90, 920.27 and 401.39

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Solution

The fourth proportional to 666.90, 920.27 and 401.39 is: 553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.90 : 920.27 = 401.39 : x
  2. Step 2: Convert to fraction form
    666.90/920.27 = 401.39/x
  3. Step 3: Cross multiply
    666.90x = 920.27 × 401.39
  4. Step 4: Simplify right side
    666.90x = 369,380.57
  5. Step 5: Solve for x
    x = 369,380.57/666.90
  6. Step 6: Final answer
    x = 553.88

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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.