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Finding the Fourth Proportional to 969.04, 1,453.56 and 238.60

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Solution

The fourth proportional to 969.04, 1,453.56 and 238.60 is: 357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.04 : 1,453.56 = 238.60 : x
  2. Step 2: Convert to fraction form
    969.04/1,453.56 = 238.60/x
  3. Step 3: Cross multiply
    969.04x = 1,453.56 × 238.60
  4. Step 4: Simplify right side
    969.04x = 346,819.42
  5. Step 5: Solve for x
    x = 346,819.42/969.04
  6. Step 6: Final answer
    x = 357.90

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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.