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Finding the Fourth Proportional to 554.30, 764.97 and 305.66

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Solution

The fourth proportional to 554.30, 764.97 and 305.66 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.30 : 764.97 = 305.66 : x
  2. Step 2: Convert to fraction form
    554.30/764.97 = 305.66/x
  3. Step 3: Cross multiply
    554.30x = 764.97 × 305.66
  4. Step 4: Simplify right side
    554.30x = 233,820.73
  5. Step 5: Solve for x
    x = 233,820.73/554.30
  6. Step 6: Final answer
    x = 421.83

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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.