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Finding the Fourth Proportional to 682.14, 941.36 and 387.51

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Solution

The fourth proportional to 682.14, 941.36 and 387.51 is: 534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.14 : 941.36 = 387.51 : x
  2. Step 2: Convert to fraction form
    682.14/941.36 = 387.51/x
  3. Step 3: Cross multiply
    682.14x = 941.36 × 387.51
  4. Step 4: Simplify right side
    682.14x = 364,786.41
  5. Step 5: Solve for x
    x = 364,786.41/682.14
  6. Step 6: Final answer
    x = 534.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.