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Finding the Fourth Proportional to 433.90, 650.76 and 202.80

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Solution

The fourth proportional to 433.90, 650.76 and 202.80 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.90 : 650.76 = 202.80 : x
  2. Step 2: Convert to fraction form
    433.90/650.76 = 202.80/x
  3. Step 3: Cross multiply
    433.90x = 650.76 × 202.80
  4. Step 4: Simplify right side
    433.90x = 131,974.13
  5. Step 5: Solve for x
    x = 131,974.13/433.90
  6. Step 6: Final answer
    x = 304.16

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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.