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Finding the Fourth Proportional to 554, 764.52 and 321.14

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Solution

The fourth proportional to 554, 764.52 and 321.14 is: 443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554 : 764.52 = 321.14 : x
  2. Step 2: Convert to fraction form
    554/764.52 = 321.14/x
  3. Step 3: Cross multiply
    554x = 764.52 × 321.14
  4. Step 4: Simplify right side
    554x = 245,517.95
  5. Step 5: Solve for x
    x = 245,517.95/554
  6. Step 6: Final answer
    x = 443.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.