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Finding the Fourth Proportional to 666.45, 998.60 and 406.17

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Solution

The fourth proportional to 666.45, 998.60 and 406.17 is: 608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.45 : 998.60 = 406.17 : x
  2. Step 2: Convert to fraction form
    666.45/998.60 = 406.17/x
  3. Step 3: Cross multiply
    666.45x = 998.60 × 406.17
  4. Step 4: Simplify right side
    666.45x = 405,599.33
  5. Step 5: Solve for x
    x = 405,599.33/666.45
  6. Step 6: Final answer
    x = 608.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.