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Finding the Fourth Proportional to 680.81, 939.45 and 386.09

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Solution

The fourth proportional to 680.81, 939.45 and 386.09 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.81 : 939.45 = 386.09 : x
  2. Step 2: Convert to fraction form
    680.81/939.45 = 386.09/x
  3. Step 3: Cross multiply
    680.81x = 939.45 × 386.09
  4. Step 4: Simplify right side
    680.81x = 362,712.99
  5. Step 5: Solve for x
    x = 362,712.99/680.81
  6. Step 6: Final answer
    x = 532.77

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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.