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Finding the Fourth Proportional to 418.26, 627.01 and 383.66

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Solution

The fourth proportional to 418.26, 627.01 and 383.66 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 627.01 = 383.66 : x
  2. Step 2: Convert to fraction form
    418.26/627.01 = 383.66/x
  3. Step 3: Cross multiply
    418.26x = 627.01 × 383.66
  4. Step 4: Simplify right side
    418.26x = 240,560.44
  5. Step 5: Solve for x
    x = 240,560.44/418.26
  6. Step 6: Final answer
    x = 575.14

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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.