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Finding the Fourth Proportional to 554.22, 764.84 and 305.57

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Solution

The fourth proportional to 554.22, 764.84 and 305.57 is: 421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.22 : 764.84 = 305.57 : x
  2. Step 2: Convert to fraction form
    554.22/764.84 = 305.57/x
  3. Step 3: Cross multiply
    554.22x = 764.84 × 305.57
  4. Step 4: Simplify right side
    554.22x = 233,706.81
  5. Step 5: Solve for x
    x = 233,706.81/554.22
  6. Step 6: Final answer
    x = 421.69

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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.