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Finding the Fourth Proportional to 509.32, 762.52 and 300.48

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Solution

The fourth proportional to 509.32, 762.52 and 300.48 is: 449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 762.52 = 300.48 : x
  2. Step 2: Convert to fraction form
    509.32/762.52 = 300.48/x
  3. Step 3: Cross multiply
    509.32x = 762.52 × 300.48
  4. Step 4: Simplify right side
    509.32x = 229,122.01
  5. Step 5: Solve for x
    x = 229,122.01/509.32
  6. Step 6: Final answer
    x = 449.86

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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.