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Finding the Fourth Proportional to 433.86, 650.31 and 202.40

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Solution

The fourth proportional to 433.86, 650.31 and 202.40 is: 303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 650.31 = 202.40 : x
  2. Step 2: Convert to fraction form
    433.86/650.31 = 202.40/x
  3. Step 3: Cross multiply
    433.86x = 650.31 × 202.40
  4. Step 4: Simplify right side
    433.86x = 131,621.17
  5. Step 5: Solve for x
    x = 131,621.17/433.86
  6. Step 6: Final answer
    x = 303.38

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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.