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Finding the Fourth Proportional to 446.51, 615.09 and 321.82

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Solution

The fourth proportional to 446.51, 615.09 and 321.82 is: 443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.51 : 615.09 = 321.82 : x
  2. Step 2: Convert to fraction form
    446.51/615.09 = 321.82/x
  3. Step 3: Cross multiply
    446.51x = 615.09 × 321.82
  4. Step 4: Simplify right side
    446.51x = 197,951.39
  5. Step 5: Solve for x
    x = 197,951.39/446.51
  6. Step 6: Final answer
    x = 443.33

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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.