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Finding the Fourth Proportional to 676.65, 933.83 and 381.95

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Solution

The fourth proportional to 676.65, 933.83 and 381.95 is: 527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.65 : 933.83 = 381.95 : x
  2. Step 2: Convert to fraction form
    676.65/933.83 = 381.95/x
  3. Step 3: Cross multiply
    676.65x = 933.83 × 381.95
  4. Step 4: Simplify right side
    676.65x = 356,676.37
  5. Step 5: Solve for x
    x = 356,676.37/676.65
  6. Step 6: Final answer
    x = 527.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.