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Finding the Fourth Proportional to 596.46, 894.27 and 206.37

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Solution

The fourth proportional to 596.46, 894.27 and 206.37 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 894.27 = 206.37 : x
  2. Step 2: Convert to fraction form
    596.46/894.27 = 206.37/x
  3. Step 3: Cross multiply
    596.46x = 894.27 × 206.37
  4. Step 4: Simplify right side
    596.46x = 184,550.50
  5. Step 5: Solve for x
    x = 184,550.50/596.46
  6. Step 6: Final answer
    x = 309.41

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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.