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Finding the Fourth Proportional to 764.23, 1,146.36 and 216.43

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Solution

The fourth proportional to 764.23, 1,146.36 and 216.43 is: 324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.23 : 1,146.36 = 216.43 : x
  2. Step 2: Convert to fraction form
    764.23/1,146.36 = 216.43/x
  3. Step 3: Cross multiply
    764.23x = 1,146.36 × 216.43
  4. Step 4: Simplify right side
    764.23x = 248,106.69
  5. Step 5: Solve for x
    x = 248,106.69/764.23
  6. Step 6: Final answer
    x = 324.65

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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.