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Finding the Fourth Proportional to 509.72, 764.57 and 144.50

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Solution

The fourth proportional to 509.72, 764.57 and 144.50 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.72 : 764.57 = 144.50 : x
  2. Step 2: Convert to fraction form
    509.72/764.57 = 144.50/x
  3. Step 3: Cross multiply
    509.72x = 764.57 × 144.50
  4. Step 4: Simplify right side
    509.72x = 110,480.37
  5. Step 5: Solve for x
    x = 110,480.37/509.72
  6. Step 6: Final answer
    x = 216.75

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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.