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Finding the Fourth Proportional to 485.24, 727.84 and 268.68

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Solution

The fourth proportional to 485.24, 727.84 and 268.68 is: 403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.24 : 727.84 = 268.68 : x
  2. Step 2: Convert to fraction form
    485.24/727.84 = 268.68/x
  3. Step 3: Cross multiply
    485.24x = 727.84 × 268.68
  4. Step 4: Simplify right side
    485.24x = 195,556.05
  5. Step 5: Solve for x
    x = 195,556.05/485.24
  6. Step 6: Final answer
    x = 403.01

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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.