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Finding the Fourth Proportional to 596.16, 894.24 and 206.46

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Solution

The fourth proportional to 596.16, 894.24 and 206.46 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 894.24 = 206.46 : x
  2. Step 2: Convert to fraction form
    596.16/894.24 = 206.46/x
  3. Step 3: Cross multiply
    596.16x = 894.24 × 206.46
  4. Step 4: Simplify right side
    596.16x = 184,624.79
  5. Step 5: Solve for x
    x = 184,624.79/596.16
  6. Step 6: Final answer
    x = 309.69

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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.