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Finding the Fourth Proportional to 418.95, 627.85 and 360.78

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Solution

The fourth proportional to 418.95, 627.85 and 360.78 is: 540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.95 : 627.85 = 360.78 : x
  2. Step 2: Convert to fraction form
    418.95/627.85 = 360.78/x
  3. Step 3: Cross multiply
    418.95x = 627.85 × 360.78
  4. Step 4: Simplify right side
    418.95x = 226,515.59
  5. Step 5: Solve for x
    x = 226,515.59/418.95
  6. Step 6: Final answer
    x = 540.68

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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.