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Finding the Fourth Proportional to 596.14, 894.09 and 206.12

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Solution

The fourth proportional to 596.14, 894.09 and 206.12 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.14 : 894.09 = 206.12 : x
  2. Step 2: Convert to fraction form
    596.14/894.09 = 206.12/x
  3. Step 3: Cross multiply
    596.14x = 894.09 × 206.12
  4. Step 4: Simplify right side
    596.14x = 184,289.83
  5. Step 5: Solve for x
    x = 184,289.83/596.14
  6. Step 6: Final answer
    x = 309.14

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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.