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Finding the Fourth Proportional to 567.92, 852.36 and 226.16

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Solution

The fourth proportional to 567.92, 852.36 and 226.16 is: 339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 852.36 = 226.16 : x
  2. Step 2: Convert to fraction form
    567.92/852.36 = 226.16/x
  3. Step 3: Cross multiply
    567.92x = 852.36 × 226.16
  4. Step 4: Simplify right side
    567.92x = 192,769.74
  5. Step 5: Solve for x
    x = 192,769.74/567.92
  6. Step 6: Final answer
    x = 339.43

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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.