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Finding the Fourth Proportional to 446.64, 616.10 and 306.52

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Solution

The fourth proportional to 446.64, 616.10 and 306.52 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.64 : 616.10 = 306.52 : x
  2. Step 2: Convert to fraction form
    446.64/616.10 = 306.52/x
  3. Step 3: Cross multiply
    446.64x = 616.10 × 306.52
  4. Step 4: Simplify right side
    446.64x = 188,846.97
  5. Step 5: Solve for x
    x = 188,846.97/446.64
  6. Step 6: Final answer
    x = 422.82

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