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Finding the Fourth Proportional to 485.24, 727.36 and 311.84

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Solution

The fourth proportional to 485.24, 727.36 and 311.84 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.24 : 727.36 = 311.84 : x
  2. Step 2: Convert to fraction form
    485.24/727.36 = 311.84/x
  3. Step 3: Cross multiply
    485.24x = 727.36 × 311.84
  4. Step 4: Simplify right side
    485.24x = 226,819.94
  5. Step 5: Solve for x
    x = 226,819.94/485.24
  6. Step 6: Final answer
    x = 467.44

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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.