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Finding the Fourth Proportional to 296.29, 443.56 and 219.60

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Solution

The fourth proportional to 296.29, 443.56 and 219.60 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.29 : 443.56 = 219.60 : x
  2. Step 2: Convert to fraction form
    296.29/443.56 = 219.60/x
  3. Step 3: Cross multiply
    296.29x = 443.56 × 219.60
  4. Step 4: Simplify right side
    296.29x = 97,405.78
  5. Step 5: Solve for x
    x = 97,405.78/296.29
  6. Step 6: Final answer
    x = 328.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.