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Finding the Fourth Proportional to 680.83, 939.53 and 418.84

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Solution

The fourth proportional to 680.83, 939.53 and 418.84 is: 577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.83 : 939.53 = 418.84 : x
  2. Step 2: Convert to fraction form
    680.83/939.53 = 418.84/x
  3. Step 3: Cross multiply
    680.83x = 939.53 × 418.84
  4. Step 4: Simplify right side
    680.83x = 393,511.44
  5. Step 5: Solve for x
    x = 393,511.44/680.83
  6. Step 6: Final answer
    x = 577.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.