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Finding the Fourth Proportional to 446.29, 615.28 and 313.33

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Solution

The fourth proportional to 446.29, 615.28 and 313.33 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.29 : 615.28 = 313.33 : x
  2. Step 2: Convert to fraction form
    446.29/615.28 = 313.33/x
  3. Step 3: Cross multiply
    446.29x = 615.28 × 313.33
  4. Step 4: Simplify right side
    446.29x = 192,785.68
  5. Step 5: Solve for x
    x = 192,785.68/446.29
  6. Step 6: Final answer
    x = 431.97

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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.