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Finding the Fourth Proportional to 305.78, 418.97 and 303.35

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Solution

The fourth proportional to 305.78, 418.97 and 303.35 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 418.97 = 303.35 : x
  2. Step 2: Convert to fraction form
    305.78/418.97 = 303.35/x
  3. Step 3: Cross multiply
    305.78x = 418.97 × 303.35
  4. Step 4: Simplify right side
    305.78x = 127,093.21
  5. Step 5: Solve for x
    x = 127,093.21/305.78
  6. Step 6: Final answer
    x = 415.64

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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.