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Finding the Fourth Proportional to 676.92, 933.84 and 455.94

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Solution

The fourth proportional to 676.92, 933.84 and 455.94 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 933.84 = 455.94 : x
  2. Step 2: Convert to fraction form
    676.92/933.84 = 455.94/x
  3. Step 3: Cross multiply
    676.92x = 933.84 × 455.94
  4. Step 4: Simplify right side
    676.92x = 425,775.01
  5. Step 5: Solve for x
    x = 425,775.01/676.92
  6. Step 6: Final answer
    x = 628.99

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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.