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Finding the Fourth Proportional to 433.54, 649.16 and 303.69

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Solution

The fourth proportional to 433.54, 649.16 and 303.69 is: 454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.54 : 649.16 = 303.69 : x
  2. Step 2: Convert to fraction form
    433.54/649.16 = 303.69/x
  3. Step 3: Cross multiply
    433.54x = 649.16 × 303.69
  4. Step 4: Simplify right side
    433.54x = 197,143.40
  5. Step 5: Solve for x
    x = 197,143.40/433.54
  6. Step 6: Final answer
    x = 454.73

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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.