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Finding the Fourth Proportional to 446.70, 616.48 and 306.82

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Solution

The fourth proportional to 446.70, 616.48 and 306.82 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 616.48 = 306.82 : x
  2. Step 2: Convert to fraction form
    446.70/616.48 = 306.82/x
  3. Step 3: Cross multiply
    446.70x = 616.48 × 306.82
  4. Step 4: Simplify right side
    446.70x = 189,148.39
  5. Step 5: Solve for x
    x = 189,148.39/446.70
  6. Step 6: Final answer
    x = 423.43

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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.