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Finding the Fourth Proportional to 564.33, 846.54 and 199.12

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Solution

The fourth proportional to 564.33, 846.54 and 199.12 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.33 : 846.54 = 199.12 : x
  2. Step 2: Convert to fraction form
    564.33/846.54 = 199.12/x
  3. Step 3: Cross multiply
    564.33x = 846.54 × 199.12
  4. Step 4: Simplify right side
    564.33x = 168,560.93
  5. Step 5: Solve for x
    x = 168,560.93/564.33
  6. Step 6: Final answer
    x = 298.69

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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.