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Finding the Fourth Proportional to 665.91, 998.51 and 233.01

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Solution

The fourth proportional to 665.91, 998.51 and 233.01 is: 349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 998.51 = 233.01 : x
  2. Step 2: Convert to fraction form
    665.91/998.51 = 233.01/x
  3. Step 3: Cross multiply
    665.91x = 998.51 × 233.01
  4. Step 4: Simplify right side
    665.91x = 232,661.65
  5. Step 5: Solve for x
    x = 232,661.65/665.91
  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.