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Finding the Fourth Proportional to 682.31, 941.72 and 387.59

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Solution

The fourth proportional to 682.31, 941.72 and 387.59 is: 534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.31 : 941.72 = 387.59 : x
  2. Step 2: Convert to fraction form
    682.31/941.72 = 387.59/x
  3. Step 3: Cross multiply
    682.31x = 941.72 × 387.59
  4. Step 4: Simplify right side
    682.31x = 364,994.61
  5. Step 5: Solve for x
    x = 364,994.61/682.31
  6. Step 6: Final answer
    x = 534.94

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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.