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Finding the Fourth Proportional to 433.94, 650.97 and 202.82

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Solution

The fourth proportional to 433.94, 650.97 and 202.82 is: 304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.94 : 650.97 = 202.82 : x
  2. Step 2: Convert to fraction form
    433.94/650.97 = 202.82/x
  3. Step 3: Cross multiply
    433.94x = 650.97 × 202.82
  4. Step 4: Simplify right side
    433.94x = 132,026.48
  5. Step 5: Solve for x
    x = 132,026.48/433.94
  6. Step 6: Final answer
    x = 304.25

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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.