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Finding the Fourth Proportional to 446.63, 616.14 and 306.90

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Solution

The fourth proportional to 446.63, 616.14 and 306.90 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.63 : 616.14 = 306.90 : x
  2. Step 2: Convert to fraction form
    446.63/616.14 = 306.90/x
  3. Step 3: Cross multiply
    446.63x = 616.14 × 306.90
  4. Step 4: Simplify right side
    446.63x = 189,093.37
  5. Step 5: Solve for x
    x = 189,093.37/446.63
  6. Step 6: Final answer
    x = 423.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.