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Finding the Fourth Proportional to 433.68, 650.52 and 238.92

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Solution

The fourth proportional to 433.68, 650.52 and 238.92 is: 358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 650.52 = 238.92 : x
  2. Step 2: Convert to fraction form
    433.68/650.52 = 238.92/x
  3. Step 3: Cross multiply
    433.68x = 650.52 × 238.92
  4. Step 4: Simplify right side
    433.68x = 155,422.24
  5. Step 5: Solve for x
    x = 155,422.24/433.68
  6. Step 6: Final answer
    x = 358.38

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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.