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Finding the Fourth Proportional to 456.82, 684.51 and 273.99

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Solution

The fourth proportional to 456.82, 684.51 and 273.99 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.82 : 684.51 = 273.99 : x
  2. Step 2: Convert to fraction form
    456.82/684.51 = 273.99/x
  3. Step 3: Cross multiply
    456.82x = 684.51 × 273.99
  4. Step 4: Simplify right side
    456.82x = 187,548.89
  5. Step 5: Solve for x
    x = 187,548.89/456.82
  6. Step 6: Final answer
    x = 410.55

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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.