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Finding the Fourth Proportional to 680.49, 939.14 and 385.74

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Solution

The fourth proportional to 680.49, 939.14 and 385.74 is: 532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.49 : 939.14 = 385.74 : x
  2. Step 2: Convert to fraction form
    680.49/939.14 = 385.74/x
  3. Step 3: Cross multiply
    680.49x = 939.14 × 385.74
  4. Step 4: Simplify right side
    680.49x = 362,261.93
  5. Step 5: Solve for x
    x = 362,261.93/680.49
  6. Step 6: Final answer
    x = 532.35

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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.