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Finding the Fourth Proportional to 418.83, 627.21 and 337.83

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Solution

The fourth proportional to 418.83, 627.21 and 337.83 is: 505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.83 : 627.21 = 337.83 : x
  2. Step 2: Convert to fraction form
    418.83/627.21 = 337.83/x
  3. Step 3: Cross multiply
    418.83x = 627.21 × 337.83
  4. Step 4: Simplify right side
    418.83x = 211,890.35
  5. Step 5: Solve for x
    x = 211,890.35/418.83
  6. Step 6: Final answer
    x = 505.91

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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.