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Finding the Fourth Proportional to 666.28, 998.76 and 233.08

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Solution

The fourth proportional to 666.28, 998.76 and 233.08 is: 349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.28 : 998.76 = 233.08 : x
  2. Step 2: Convert to fraction form
    666.28/998.76 = 233.08/x
  3. Step 3: Cross multiply
    666.28x = 998.76 × 233.08
  4. Step 4: Simplify right side
    666.28x = 232,790.98
  5. Step 5: Solve for x
    x = 232,790.98/666.28
  6. Step 6: Final answer
    x = 349.39

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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.