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Finding the Fourth Proportional to 554.73, 764.76 and 379.77

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Solution

The fourth proportional to 554.73, 764.76 and 379.77 is: 523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.73 : 764.76 = 379.77 : x
  2. Step 2: Convert to fraction form
    554.73/764.76 = 379.77/x
  3. Step 3: Cross multiply
    554.73x = 764.76 × 379.77
  4. Step 4: Simplify right side
    554.73x = 290,432.91
  5. Step 5: Solve for x
    x = 290,432.91/554.73
  6. Step 6: Final answer
    x = 523.56

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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.