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Finding the Fourth Proportional to 676.61, 933.72 and 381.86

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Solution

The fourth proportional to 676.61, 933.72 and 381.86 is: 526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.61 : 933.72 = 381.86 : x
  2. Step 2: Convert to fraction form
    676.61/933.72 = 381.86/x
  3. Step 3: Cross multiply
    676.61x = 933.72 × 381.86
  4. Step 4: Simplify right side
    676.61x = 356,545.65
  5. Step 5: Solve for x
    x = 356,545.65/676.61
  6. Step 6: Final answer
    x = 526.96

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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.