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Finding the Fourth Proportional to 433.89, 651.02 and 190.49

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Solution

The fourth proportional to 433.89, 651.02 and 190.49 is: 285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.89 : 651.02 = 190.49 : x
  2. Step 2: Convert to fraction form
    433.89/651.02 = 190.49/x
  3. Step 3: Cross multiply
    433.89x = 651.02 × 190.49
  4. Step 4: Simplify right side
    433.89x = 124,008.59
  5. Step 5: Solve for x
    x = 124,008.59/433.89
  6. Step 6: Final answer
    x = 285.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.