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Finding the Fourth Proportional to 665.94, 999.06 and 233.16

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Solution

The fourth proportional to 665.94, 999.06 and 233.16 is: 349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 999.06 = 233.16 : x
  2. Step 2: Convert to fraction form
    665.94/999.06 = 233.16/x
  3. Step 3: Cross multiply
    665.94x = 999.06 × 233.16
  4. Step 4: Simplify right side
    665.94x = 232,940.83
  5. Step 5: Solve for x
    x = 232,940.83/665.94
  6. Step 6: Final answer
    x = 349.79

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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.