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Finding the Fourth Proportional to 509.81, 764.71 and 221.24

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Solution

The fourth proportional to 509.81, 764.71 and 221.24 is: 331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.81 : 764.71 = 221.24 : x
  2. Step 2: Convert to fraction form
    509.81/764.71 = 221.24/x
  3. Step 3: Cross multiply
    509.81x = 764.71 × 221.24
  4. Step 4: Simplify right side
    509.81x = 169,183.33
  5. Step 5: Solve for x
    x = 169,183.33/509.81
  6. Step 6: Final answer
    x = 331.86

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Double scale
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Similar ratio
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1.5x scale

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.