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Finding the Fourth Proportional to 509.62, 764.34 and 144.33

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Solution

The fourth proportional to 509.62, 764.34 and 144.33 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.62 : 764.34 = 144.33 : x
  2. Step 2: Convert to fraction form
    509.62/764.34 = 144.33/x
  3. Step 3: Cross multiply
    509.62x = 764.34 × 144.33
  4. Step 4: Simplify right side
    509.62x = 110,317.19
  5. Step 5: Solve for x
    x = 110,317.19/509.62
  6. Step 6: Final answer
    x = 216.47

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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.