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Finding the Fourth Proportional to 509.69, 764.66 and 163.05

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Solution

The fourth proportional to 509.69, 764.66 and 163.05 is: 244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.69 : 764.66 = 163.05 : x
  2. Step 2: Convert to fraction form
    509.69/764.66 = 163.05/x
  3. Step 3: Cross multiply
    509.69x = 764.66 × 163.05
  4. Step 4: Simplify right side
    509.69x = 124,677.81
  5. Step 5: Solve for x
    x = 124,677.81/509.69
  6. Step 6: Final answer
    x = 244.61

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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.