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Finding the Fourth Proportional to 445.64, 615.11 and 296.28

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Solution

The fourth proportional to 445.64, 615.11 and 296.28 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 615.11 = 296.28 : x
  2. Step 2: Convert to fraction form
    445.64/615.11 = 296.28/x
  3. Step 3: Cross multiply
    445.64x = 615.11 × 296.28
  4. Step 4: Simplify right side
    445.64x = 182,243.31
  5. Step 5: Solve for x
    x = 182,243.31/445.64
  6. Step 6: Final answer
    x = 408.95

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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.