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Finding the Fourth Proportional to 419.86, 627.97 and 381.05

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Solution

The fourth proportional to 419.86, 627.97 and 381.05 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.86 : 627.97 = 381.05 : x
  2. Step 2: Convert to fraction form
    419.86/627.97 = 381.05/x
  3. Step 3: Cross multiply
    419.86x = 627.97 × 381.05
  4. Step 4: Simplify right side
    419.86x = 239,288.87
  5. Step 5: Solve for x
    x = 239,288.87/419.86
  6. Step 6: Final answer
    x = 569.93

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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.