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Finding the Fourth Proportional to 419.56, 627.66 and 262.84

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Solution

The fourth proportional to 419.56, 627.66 and 262.84 is: 393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.56 : 627.66 = 262.84 : x
  2. Step 2: Convert to fraction form
    419.56/627.66 = 262.84/x
  3. Step 3: Cross multiply
    419.56x = 627.66 × 262.84
  4. Step 4: Simplify right side
    419.56x = 164,974.15
  5. Step 5: Solve for x
    x = 164,974.15/419.56
  6. Step 6: Final answer
    x = 393.21

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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.