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Finding the Fourth Proportional to 554.34, 764.82 and 321.42

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Solution

The fourth proportional to 554.34, 764.82 and 321.42 is: 443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.34 : 764.82 = 321.42 : x
  2. Step 2: Convert to fraction form
    554.34/764.82 = 321.42/x
  3. Step 3: Cross multiply
    554.34x = 764.82 × 321.42
  4. Step 4: Simplify right side
    554.34x = 245,828.44
  5. Step 5: Solve for x
    x = 245,828.44/554.34
  6. Step 6: Final answer
    x = 443.46

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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.