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Finding the Fourth Proportional to 564.72, 846.69 and 213.18

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Solution

The fourth proportional to 564.72, 846.69 and 213.18 is: 319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 846.69 = 213.18 : x
  2. Step 2: Convert to fraction form
    564.72/846.69 = 213.18/x
  3. Step 3: Cross multiply
    564.72x = 846.69 × 213.18
  4. Step 4: Simplify right side
    564.72x = 180,497.37
  5. Step 5: Solve for x
    x = 180,497.37/564.72
  6. Step 6: Final answer
    x = 319.62

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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.