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Finding the Fourth Proportional to 565.13, 847.72 and 218.51

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Solution

The fourth proportional to 565.13, 847.72 and 218.51 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 847.72 = 218.51 : x
  2. Step 2: Convert to fraction form
    565.13/847.72 = 218.51/x
  3. Step 3: Cross multiply
    565.13x = 847.72 × 218.51
  4. Step 4: Simplify right side
    565.13x = 185,237.42
  5. Step 5: Solve for x
    x = 185,237.42/565.13
  6. Step 6: Final answer
    x = 327.78

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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.