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Finding the Fourth Proportional to 680.64, 939.34 and 385.94

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Solution

The fourth proportional to 680.64, 939.34 and 385.94 is: 532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.64 : 939.34 = 385.94 : x
  2. Step 2: Convert to fraction form
    680.64/939.34 = 385.94/x
  3. Step 3: Cross multiply
    680.64x = 939.34 × 385.94
  4. Step 4: Simplify right side
    680.64x = 362,528.88
  5. Step 5: Solve for x
    x = 362,528.88/680.64
  6. Step 6: Final answer
    x = 532.63

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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.