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Finding the Fourth Proportional to 680.93, 939.61 and 382.17

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Solution

The fourth proportional to 680.93, 939.61 and 382.17 is: 527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.93 : 939.61 = 382.17 : x
  2. Step 2: Convert to fraction form
    680.93/939.61 = 382.17/x
  3. Step 3: Cross multiply
    680.93x = 939.61 × 382.17
  4. Step 4: Simplify right side
    680.93x = 359,090.75
  5. Step 5: Solve for x
    x = 359,090.75/680.93
  6. Step 6: Final answer
    x = 527.35

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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.