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Finding the Fourth Proportional to 509.85, 764.24 and 236.12

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Solution

The fourth proportional to 509.85, 764.24 and 236.12 is: 353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.85 : 764.24 = 236.12 : x
  2. Step 2: Convert to fraction form
    509.85/764.24 = 236.12/x
  3. Step 3: Cross multiply
    509.85x = 764.24 × 236.12
  4. Step 4: Simplify right side
    509.85x = 180,452.35
  5. Step 5: Solve for x
    x = 180,452.35/509.85
  6. Step 6: Final answer
    x = 353.93

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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.