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Finding the Fourth Proportional to 596.79, 894.94 and 206.71

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Solution

The fourth proportional to 596.79, 894.94 and 206.71 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.79 : 894.94 = 206.71 : x
  2. Step 2: Convert to fraction form
    596.79/894.94 = 206.71/x
  3. Step 3: Cross multiply
    596.79x = 894.94 × 206.71
  4. Step 4: Simplify right side
    596.79x = 184,993.05
  5. Step 5: Solve for x
    x = 184,993.05/596.79
  6. Step 6: Final answer
    x = 309.98

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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.