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Finding the Fourth Proportional to 427.05, 641.16 and 419.76

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Solution

The fourth proportional to 427.05, 641.16 and 419.76 is: 630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.05 : 641.16 = 419.76 : x
  2. Step 2: Convert to fraction form
    427.05/641.16 = 419.76/x
  3. Step 3: Cross multiply
    427.05x = 641.16 × 419.76
  4. Step 4: Simplify right side
    427.05x = 269,133.32
  5. Step 5: Solve for x
    x = 269,133.32/427.05
  6. Step 6: Final answer
    x = 630.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.