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Finding the Fourth Proportional to 433.68, 649.40 and 296.96

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Solution

The fourth proportional to 433.68, 649.40 and 296.96 is: 444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 649.40 = 296.96 : x
  2. Step 2: Convert to fraction form
    433.68/649.40 = 296.96/x
  3. Step 3: Cross multiply
    433.68x = 649.40 × 296.96
  4. Step 4: Simplify right side
    433.68x = 192,845.82
  5. Step 5: Solve for x
    x = 192,845.82/433.68
  6. Step 6: Final answer
    x = 444.67

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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.