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Finding the Fourth Proportional to 433.68, 649.65 and 335.84

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Solution

The fourth proportional to 433.68, 649.65 and 335.84 is: 503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 649.65 = 335.84 : x
  2. Step 2: Convert to fraction form
    433.68/649.65 = 335.84/x
  3. Step 3: Cross multiply
    433.68x = 649.65 × 335.84
  4. Step 4: Simplify right side
    433.68x = 218,180.08
  5. Step 5: Solve for x
    x = 218,180.08/433.68
  6. Step 6: Final answer
    x = 503.09

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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.