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Finding the Fourth Proportional to 433.63, 649.77 and 173.35

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Solution

The fourth proportional to 433.63, 649.77 and 173.35 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.63 : 649.77 = 173.35 : x
  2. Step 2: Convert to fraction form
    433.63/649.77 = 173.35/x
  3. Step 3: Cross multiply
    433.63x = 649.77 × 173.35
  4. Step 4: Simplify right side
    433.63x = 112,637.63
  5. Step 5: Solve for x
    x = 112,637.63/433.63
  6. Step 6: Final answer
    x = 259.76

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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.