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Finding the Fourth Proportional to 564.39, 846.38 and 217.78

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Solution

The fourth proportional to 564.39, 846.38 and 217.78 is: 326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.39 : 846.38 = 217.78 : x
  2. Step 2: Convert to fraction form
    564.39/846.38 = 217.78/x
  3. Step 3: Cross multiply
    564.39x = 846.38 × 217.78
  4. Step 4: Simplify right side
    564.39x = 184,323.06
  5. Step 5: Solve for x
    x = 184,323.06/564.39
  6. Step 6: Final answer
    x = 326.59

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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.