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Finding the Fourth Proportional to 509.46, 764.25 and 162.75

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Solution

The fourth proportional to 509.46, 764.25 and 162.75 is: 244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.46 : 764.25 = 162.75 : x
  2. Step 2: Convert to fraction form
    509.46/764.25 = 162.75/x
  3. Step 3: Cross multiply
    509.46x = 764.25 × 162.75
  4. Step 4: Simplify right side
    509.46x = 124,381.69
  5. Step 5: Solve for x
    x = 124,381.69/509.46
  6. Step 6: Final answer
    x = 244.15

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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.