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Finding the Fourth Proportional to 485.82, 728.64 and 269.46

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Solution

The fourth proportional to 485.82, 728.64 and 269.46 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.82 : 728.64 = 269.46 : x
  2. Step 2: Convert to fraction form
    485.82/728.64 = 269.46/x
  3. Step 3: Cross multiply
    485.82x = 728.64 × 269.46
  4. Step 4: Simplify right side
    485.82x = 196,339.33
  5. Step 5: Solve for x
    x = 196,339.33/485.82
  6. Step 6: Final answer
    x = 404.14

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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.