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Finding the Fourth Proportional to 554.25, 764.84 and 305.56

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Solution

The fourth proportional to 554.25, 764.84 and 305.56 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.25 : 764.84 = 305.56 : x
  2. Step 2: Convert to fraction form
    554.25/764.84 = 305.56/x
  3. Step 3: Cross multiply
    554.25x = 764.84 × 305.56
  4. Step 4: Simplify right side
    554.25x = 233,702.98
  5. Step 5: Solve for x
    x = 233,702.98/554.25
  6. Step 6: Final answer
    x = 421.66

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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.