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Finding the Fourth Proportional to 808.33, 1,212.38 and 369.45

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Solution

The fourth proportional to 808.33, 1,212.38 and 369.45 is: 554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.33 : 1,212.38 = 369.45 : x
  2. Step 2: Convert to fraction form
    808.33/1,212.38 = 369.45/x
  3. Step 3: Cross multiply
    808.33x = 1,212.38 × 369.45
  4. Step 4: Simplify right side
    808.33x = 447,913.79
  5. Step 5: Solve for x
    x = 447,913.79/808.33
  6. Step 6: Final answer
    x = 554.12

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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.