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Finding the Fourth Proportional to 808.01, 1,212.06 and 230.90

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Solution

The fourth proportional to 808.01, 1,212.06 and 230.90 is: 346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.01 : 1,212.06 = 230.90 : x
  2. Step 2: Convert to fraction form
    808.01/1,212.06 = 230.90/x
  3. Step 3: Cross multiply
    808.01x = 1,212.06 × 230.90
  4. Step 4: Simplify right side
    808.01x = 279,864.65
  5. Step 5: Solve for x
    x = 279,864.65/808.01
  6. Step 6: Final answer
    x = 346.36

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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.