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Finding the Fourth Proportional to 433.86, 650.34 and 250.94

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Solution

The fourth proportional to 433.86, 650.34 and 250.94 is: 376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 650.34 = 250.94 : x
  2. Step 2: Convert to fraction form
    433.86/650.34 = 250.94/x
  3. Step 3: Cross multiply
    433.86x = 650.34 × 250.94
  4. Step 4: Simplify right side
    433.86x = 163,193.07
  5. Step 5: Solve for x
    x = 163,193.07/433.86
  6. Step 6: Final answer
    x = 376.14

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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.