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Finding the Fourth Proportional to 433.08, 649.57 and 108.42

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Solution

The fourth proportional to 433.08, 649.57 and 108.42 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.08 : 649.57 = 108.42 : x
  2. Step 2: Convert to fraction form
    433.08/649.57 = 108.42/x
  3. Step 3: Cross multiply
    433.08x = 649.57 × 108.42
  4. Step 4: Simplify right side
    433.08x = 70,427.53
  5. Step 5: Solve for x
    x = 70,427.53/433.08
  6. Step 6: Final answer
    x = 162.62

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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.