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Finding the Fourth Proportional to 433.60, 649.96 and 173.48

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Solution

The fourth proportional to 433.60, 649.96 and 173.48 is: 260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 649.96 = 173.48 : x
  2. Step 2: Convert to fraction form
    433.60/649.96 = 173.48/x
  3. Step 3: Cross multiply
    433.60x = 649.96 × 173.48
  4. Step 4: Simplify right side
    433.60x = 112,751.38
  5. Step 5: Solve for x
    x = 112,751.38/433.60
  6. Step 6: Final answer
    x = 260.04

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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.