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Finding the Fourth Proportional to 764.30, 1,146.24 and 301.75

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Solution

The fourth proportional to 764.30, 1,146.24 and 301.75 is: 452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.30 : 1,146.24 = 301.75 : x
  2. Step 2: Convert to fraction form
    764.30/1,146.24 = 301.75/x
  3. Step 3: Cross multiply
    764.30x = 1,146.24 × 301.75
  4. Step 4: Simplify right side
    764.30x = 345,877.92
  5. Step 5: Solve for x
    x = 345,877.92/764.30
  6. Step 6: Final answer
    x = 452.54

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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.