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Finding the Fourth Proportional to 564.88, 847.32 and 222.88

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Solution

The fourth proportional to 564.88, 847.32 and 222.88 is: 334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.88 : 847.32 = 222.88 : x
  2. Step 2: Convert to fraction form
    564.88/847.32 = 222.88/x
  3. Step 3: Cross multiply
    564.88x = 847.32 × 222.88
  4. Step 4: Simplify right side
    564.88x = 188,846.45
  5. Step 5: Solve for x
    x = 188,846.45/564.88
  6. Step 6: Final answer
    x = 334.32

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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.