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Finding the Fourth Proportional to 433.86, 650.43 and 296.57

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Solution

The fourth proportional to 433.86, 650.43 and 296.57 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 650.43 = 296.57 : x
  2. Step 2: Convert to fraction form
    433.86/650.43 = 296.57/x
  3. Step 3: Cross multiply
    433.86x = 650.43 × 296.57
  4. Step 4: Simplify right side
    433.86x = 192,894.77
  5. Step 5: Solve for x
    x = 192,894.77/433.86
  6. Step 6: Final answer
    x = 444.60

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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.