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Finding the Fourth Proportional to 509.37, 764 and 180.26

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Solution

The fourth proportional to 509.37, 764 and 180.26 is: 270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.37 : 764 = 180.26 : x
  2. Step 2: Convert to fraction form
    509.37/764 = 180.26/x
  3. Step 3: Cross multiply
    509.37x = 764 × 180.26
  4. Step 4: Simplify right side
    509.37x = 137,718.64
  5. Step 5: Solve for x
    x = 137,718.64/509.37
  6. Step 6: Final answer
    x = 270.37

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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.