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Finding the Fourth Proportional to 565.09, 847.42 and 218.24

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Solution

The fourth proportional to 565.09, 847.42 and 218.24 is: 327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.09 : 847.42 = 218.24 : x
  2. Step 2: Convert to fraction form
    565.09/847.42 = 218.24/x
  3. Step 3: Cross multiply
    565.09x = 847.42 × 218.24
  4. Step 4: Simplify right side
    565.09x = 184,940.94
  5. Step 5: Solve for x
    x = 184,940.94/565.09
  6. Step 6: Final answer
    x = 327.28

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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.