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Finding the Fourth Proportional to 666, 998.64 and 392.64

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Solution

The fourth proportional to 666, 998.64 and 392.64 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    666 : 998.64 = 392.64 : x
  2. Step 2: Convert to fraction form
    666/998.64 = 392.64/x
  3. Step 3: Cross multiply
    666x = 998.64 × 392.64
  4. Step 4: Simplify right side
    666x = 392,106.01
  5. Step 5: Solve for x
    x = 392,106.01/666
  6. Step 6: Final answer
    x = 588.75

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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.