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Finding the Fourth Proportional to 968.87, 1,453.29 and 238.46

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Solution

The fourth proportional to 968.87, 1,453.29 and 238.46 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.87 : 1,453.29 = 238.46 : x
  2. Step 2: Convert to fraction form
    968.87/1,453.29 = 238.46/x
  3. Step 3: Cross multiply
    968.87x = 1,453.29 × 238.46
  4. Step 4: Simplify right side
    968.87x = 346,545.16
  5. Step 5: Solve for x
    x = 346,545.16/968.87
  6. Step 6: Final answer
    x = 357.68

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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.