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Finding the Fourth Proportional to 366.06, 548.16 and 275.34

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Solution

The fourth proportional to 366.06, 548.16 and 275.34 is: 412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.06 : 548.16 = 275.34 : x
  2. Step 2: Convert to fraction form
    366.06/548.16 = 275.34/x
  3. Step 3: Cross multiply
    366.06x = 548.16 × 275.34
  4. Step 4: Simplify right side
    366.06x = 150,930.37
  5. Step 5: Solve for x
    x = 150,930.37/366.06
  6. Step 6: Final answer
    x = 412.31

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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.