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Finding the Fourth Proportional to 564.68, 846.47 and 199.22

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Solution

The fourth proportional to 564.68, 846.47 and 199.22 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 846.47 = 199.22 : x
  2. Step 2: Convert to fraction form
    564.68/846.47 = 199.22/x
  3. Step 3: Cross multiply
    564.68x = 846.47 × 199.22
  4. Step 4: Simplify right side
    564.68x = 168,628.52
  5. Step 5: Solve for x
    x = 168,628.52/564.68
  6. Step 6: Final answer
    x = 298.63

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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.