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Finding the Fourth Proportional to 764.45, 1,146.16 and 353.36

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Solution

The fourth proportional to 764.45, 1,146.16 and 353.36 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.45 : 1,146.16 = 353.36 : x
  2. Step 2: Convert to fraction form
    764.45/1,146.16 = 353.36/x
  3. Step 3: Cross multiply
    764.45x = 1,146.16 × 353.36
  4. Step 4: Simplify right side
    764.45x = 405,007.10
  5. Step 5: Solve for x
    x = 405,007.10/764.45
  6. Step 6: Final answer
    x = 529.80

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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.