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Finding the Fourth Proportional to 680.96, 939.64 and 386.26

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Solution

The fourth proportional to 680.96, 939.64 and 386.26 is: 532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.96 : 939.64 = 386.26 : x
  2. Step 2: Convert to fraction form
    680.96/939.64 = 386.26/x
  3. Step 3: Cross multiply
    680.96x = 939.64 × 386.26
  4. Step 4: Simplify right side
    680.96x = 362,945.35
  5. Step 5: Solve for x
    x = 362,945.35/680.96
  6. Step 6: Final answer
    x = 532.99

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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.