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Finding the Fourth Proportional to 596.36, 894.66 and 206.34

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Solution

The fourth proportional to 596.36, 894.66 and 206.34 is: 309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.36 : 894.66 = 206.34 : x
  2. Step 2: Convert to fraction form
    596.36/894.66 = 206.34/x
  3. Step 3: Cross multiply
    596.36x = 894.66 × 206.34
  4. Step 4: Simplify right side
    596.36x = 184,604.14
  5. Step 5: Solve for x
    x = 184,604.14/596.36
  6. Step 6: Final answer
    x = 309.55

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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.