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Finding the Fourth Proportional to 433.63, 650.28 and 279.34

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Solution

The fourth proportional to 433.63, 650.28 and 279.34 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.63 : 650.28 = 279.34 : x
  2. Step 2: Convert to fraction form
    433.63/650.28 = 279.34/x
  3. Step 3: Cross multiply
    433.63x = 650.28 × 279.34
  4. Step 4: Simplify right side
    433.63x = 181,649.22
  5. Step 5: Solve for x
    x = 181,649.22/433.63
  6. Step 6: Final answer
    x = 418.90

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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.