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Finding the Fourth Proportional to 509.50, 762.32 and 311.90

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Solution

The fourth proportional to 509.50, 762.32 and 311.90 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 762.32 = 311.90 : x
  2. Step 2: Convert to fraction form
    509.50/762.32 = 311.90/x
  3. Step 3: Cross multiply
    509.50x = 762.32 × 311.90
  4. Step 4: Simplify right side
    509.50x = 237,764.58
  5. Step 5: Solve for x
    x = 237,764.58/509.50
  6. Step 6: Final answer
    x = 466.66

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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.