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Finding the Fourth Proportional to 554.52, 764.34 and 367.64

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Solution

The fourth proportional to 554.52, 764.34 and 367.64 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.52 : 764.34 = 367.64 : x
  2. Step 2: Convert to fraction form
    554.52/764.34 = 367.64/x
  3. Step 3: Cross multiply
    554.52x = 764.34 × 367.64
  4. Step 4: Simplify right side
    554.52x = 281,001.96
  5. Step 5: Solve for x
    x = 281,001.96/554.52
  6. Step 6: Final answer
    x = 506.75

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