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Finding the Fourth Proportional to 554.78, 764.96 and 414.66

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Solution

The fourth proportional to 554.78, 764.96 and 414.66 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.78 : 764.96 = 414.66 : x
  2. Step 2: Convert to fraction form
    554.78/764.96 = 414.66/x
  3. Step 3: Cross multiply
    554.78x = 764.96 × 414.66
  4. Step 4: Simplify right side
    554.78x = 317,198.31
  5. Step 5: Solve for x
    x = 317,198.31/554.78
  6. Step 6: Final answer
    x = 571.76

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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.