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Finding the Fourth Proportional to 273.16, 407.04 and 262.84

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Solution

The fourth proportional to 273.16, 407.04 and 262.84 is: 391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 407.04 = 262.84 : x
  2. Step 2: Convert to fraction form
    273.16/407.04 = 262.84/x
  3. Step 3: Cross multiply
    273.16x = 407.04 × 262.84
  4. Step 4: Simplify right side
    273.16x = 106,986.39
  5. Step 5: Solve for x
    x = 106,986.39/273.16
  6. Step 6: Final answer
    x = 391.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.