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Finding the Fourth Proportional to 764.23, 1,146 and 277.28

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Solution

The fourth proportional to 764.23, 1,146 and 277.28 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.23 : 1,146 = 277.28 : x
  2. Step 2: Convert to fraction form
    764.23/1,146 = 277.28/x
  3. Step 3: Cross multiply
    764.23x = 1,146 × 277.28
  4. Step 4: Simplify right side
    764.23x = 317,762.88
  5. Step 5: Solve for x
    x = 317,762.88/764.23
  6. Step 6: Final answer
    x = 415.79

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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.