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Finding the Fourth Proportional to 596.56, 894.78 and 206.54

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Solution

The fourth proportional to 596.56, 894.78 and 206.54 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.56 : 894.78 = 206.54 : x
  2. Step 2: Convert to fraction form
    596.56/894.78 = 206.54/x
  3. Step 3: Cross multiply
    596.56x = 894.78 × 206.54
  4. Step 4: Simplify right side
    596.56x = 184,807.86
  5. Step 5: Solve for x
    x = 184,807.86/596.56
  6. Step 6: Final answer
    x = 309.79

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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.