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Finding the Fourth Proportional to 305.45, 418.83 and 298.16

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Solution

The fourth proportional to 305.45, 418.83 and 298.16 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 418.83 = 298.16 : x
  2. Step 2: Convert to fraction form
    305.45/418.83 = 298.16/x
  3. Step 3: Cross multiply
    305.45x = 418.83 × 298.16
  4. Step 4: Simplify right side
    305.45x = 124,878.35
  5. Step 5: Solve for x
    x = 124,878.35/305.45
  6. Step 6: Final answer
    x = 408.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.