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Finding the Fourth Proportional to 433.89, 649.62 and 279.99

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Solution

The fourth proportional to 433.89, 649.62 and 279.99 is: 419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.89 : 649.62 = 279.99 : x
  2. Step 2: Convert to fraction form
    433.89/649.62 = 279.99/x
  3. Step 3: Cross multiply
    433.89x = 649.62 × 279.99
  4. Step 4: Simplify right side
    433.89x = 181,887.10
  5. Step 5: Solve for x
    x = 181,887.10/433.89
  6. Step 6: Final answer
    x = 419.20

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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.