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Finding the Fourth Proportional to 433.96, 650.95 and 202.79

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Solution

The fourth proportional to 433.96, 650.95 and 202.79 is: 304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 650.95 = 202.79 : x
  2. Step 2: Convert to fraction form
    433.96/650.95 = 202.79/x
  3. Step 3: Cross multiply
    433.96x = 650.95 × 202.79
  4. Step 4: Simplify right side
    433.96x = 132,006.15
  5. Step 5: Solve for x
    x = 132,006.15/433.96
  6. Step 6: Final answer
    x = 304.19

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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.