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Finding the Fourth Proportional to 427.04, 641.16 and 419.75

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Solution

The fourth proportional to 427.04, 641.16 and 419.75 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.04 : 641.16 = 419.75 : x
  2. Step 2: Convert to fraction form
    427.04/641.16 = 419.75/x
  3. Step 3: Cross multiply
    427.04x = 641.16 × 419.75
  4. Step 4: Simplify right side
    427.04x = 269,123.70
  5. Step 5: Solve for x
    x = 269,123.70/427.04
  6. Step 6: Final answer
    x = 630.21

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Why These Related Problems?

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