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Finding the Fourth Proportional to 676.41, 933.44 and 381.66

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Solution

The fourth proportional to 676.41, 933.44 and 381.66 is: 526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.41 : 933.44 = 381.66 : x
  2. Step 2: Convert to fraction form
    676.41/933.44 = 381.66/x
  3. Step 3: Cross multiply
    676.41x = 933.44 × 381.66
  4. Step 4: Simplify right side
    676.41x = 356,254.80
  5. Step 5: Solve for x
    x = 356,254.80/676.41
  6. Step 6: Final answer
    x = 526.68

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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.