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Finding the Fourth Proportional to 683.84, 1,026.26 and 273.10

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Solution

The fourth proportional to 683.84, 1,026.26 and 273.10 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 1,026.26 = 273.10 : x
  2. Step 2: Convert to fraction form
    683.84/1,026.26 = 273.10/x
  3. Step 3: Cross multiply
    683.84x = 1,026.26 × 273.10
  4. Step 4: Simplify right side
    683.84x = 280,266.47
  5. Step 5: Solve for x
    x = 280,266.47/683.84
  6. Step 6: Final answer
    x = 409.84

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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.