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Finding the Fourth Proportional to 433.90, 650.60 and 202.94

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Solution

The fourth proportional to 433.90, 650.60 and 202.94 is: 304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.90 : 650.60 = 202.94 : x
  2. Step 2: Convert to fraction form
    433.90/650.60 = 202.94/x
  3. Step 3: Cross multiply
    433.90x = 650.60 × 202.94
  4. Step 4: Simplify right side
    433.90x = 132,032.76
  5. Step 5: Solve for x
    x = 132,032.76/433.90
  6. Step 6: Final answer
    x = 304.29

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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.