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Finding the Fourth Proportional to 676.77, 933.85 and 377.98

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Solution

The fourth proportional to 676.77, 933.85 and 377.98 is: 521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.77 : 933.85 = 377.98 : x
  2. Step 2: Convert to fraction form
    676.77/933.85 = 377.98/x
  3. Step 3: Cross multiply
    676.77x = 933.85 × 377.98
  4. Step 4: Simplify right side
    676.77x = 352,974.73
  5. Step 5: Solve for x
    x = 352,974.73/676.77
  6. Step 6: Final answer
    x = 521.56

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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.