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Finding the Fourth Proportional to 554.22, 764.82 and 305.54

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Solution

The fourth proportional to 554.22, 764.82 and 305.54 is: 421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.22 : 764.82 = 305.54 : x
  2. Step 2: Convert to fraction form
    554.22/764.82 = 305.54/x
  3. Step 3: Cross multiply
    554.22x = 764.82 × 305.54
  4. Step 4: Simplify right side
    554.22x = 233,683.10
  5. Step 5: Solve for x
    x = 233,683.10/554.22
  6. Step 6: Final answer
    x = 421.64

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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.