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Finding the Fourth Proportional to 676.84, 933.96 and 382.09

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Solution

The fourth proportional to 676.84, 933.96 and 382.09 is: 527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.84 : 933.96 = 382.09 : x
  2. Step 2: Convert to fraction form
    676.84/933.96 = 382.09/x
  3. Step 3: Cross multiply
    676.84x = 933.96 × 382.09
  4. Step 4: Simplify right side
    676.84x = 356,856.78
  5. Step 5: Solve for x
    x = 356,856.78/676.84
  6. Step 6: Final answer
    x = 527.24

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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.