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Finding the Fourth Proportional to 564.29, 846.60 and 217.65

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Solution

The fourth proportional to 564.29, 846.60 and 217.65 is: 326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.29 : 846.60 = 217.65 : x
  2. Step 2: Convert to fraction form
    564.29/846.60 = 217.65/x
  3. Step 3: Cross multiply
    564.29x = 846.60 × 217.65
  4. Step 4: Simplify right side
    564.29x = 184,262.49
  5. Step 5: Solve for x
    x = 184,262.49/564.29
  6. Step 6: Final answer
    x = 326.54

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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.