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Finding the Fourth Proportional to 564.65, 847.11 and 235.49

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Solution

The fourth proportional to 564.65, 847.11 and 235.49 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 847.11 = 235.49 : x
  2. Step 2: Convert to fraction form
    564.65/847.11 = 235.49/x
  3. Step 3: Cross multiply
    564.65x = 847.11 × 235.49
  4. Step 4: Simplify right side
    564.65x = 199,481.70
  5. Step 5: Solve for x
    x = 199,481.70/564.65
  6. Step 6: Final answer
    x = 353.28

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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.