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Finding the Fourth Proportional to 445.70, 615.26 and 296.55

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Solution

The fourth proportional to 445.70, 615.26 and 296.55 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.70 : 615.26 = 296.55 : x
  2. Step 2: Convert to fraction form
    445.70/615.26 = 296.55/x
  3. Step 3: Cross multiply
    445.70x = 615.26 × 296.55
  4. Step 4: Simplify right side
    445.70x = 182,456.09
  5. Step 5: Solve for x
    x = 182,456.09/445.70
  6. Step 6: Final answer
    x = 409.37

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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.