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Finding the Fourth Proportional to 676.30, 933.25 and 381.55

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Solution

The fourth proportional to 676.30, 933.25 and 381.55 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 933.25 = 381.55 : x
  2. Step 2: Convert to fraction form
    676.30/933.25 = 381.55/x
  3. Step 3: Cross multiply
    676.30x = 933.25 × 381.55
  4. Step 4: Simplify right side
    676.30x = 356,081.54
  5. Step 5: Solve for x
    x = 356,081.54/676.30
  6. Step 6: Final answer
    x = 526.51

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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.