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Finding the Fourth Proportional to 554.14, 764.67 and 367.66

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Solution

The fourth proportional to 554.14, 764.67 and 367.66 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.14 : 764.67 = 367.66 : x
  2. Step 2: Convert to fraction form
    554.14/764.67 = 367.66/x
  3. Step 3: Cross multiply
    554.14x = 764.67 × 367.66
  4. Step 4: Simplify right side
    554.14x = 281,138.57
  5. Step 5: Solve for x
    x = 281,138.57/554.14
  6. Step 6: Final answer
    x = 507.34

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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.