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Finding the Fourth Proportional to 433.14, 649.74 and 108.54

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Solution

The fourth proportional to 433.14, 649.74 and 108.54 is: 162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 649.74 = 108.54 : x
  2. Step 2: Convert to fraction form
    433.14/649.74 = 108.54/x
  3. Step 3: Cross multiply
    433.14x = 649.74 × 108.54
  4. Step 4: Simplify right side
    433.14x = 70,522.78
  5. Step 5: Solve for x
    x = 70,522.78/433.14
  6. Step 6: Final answer
    x = 162.82

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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.