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Finding the Fourth Proportional to 433.14, 649.53 and 144.42

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Solution

The fourth proportional to 433.14, 649.53 and 144.42 is: 216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 649.53 = 144.42 : x
  2. Step 2: Convert to fraction form
    433.14/649.53 = 144.42/x
  3. Step 3: Cross multiply
    433.14x = 649.53 × 144.42
  4. Step 4: Simplify right side
    433.14x = 93,805.12
  5. Step 5: Solve for x
    x = 93,805.12/433.14
  6. Step 6: Final answer
    x = 216.57

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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.