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Finding the Fourth Proportional to 676.60, 933.67 and 381.85

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Solution

The fourth proportional to 676.60, 933.67 and 381.85 is: 526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 933.67 = 381.85 : x
  2. Step 2: Convert to fraction form
    676.60/933.67 = 381.85/x
  3. Step 3: Cross multiply
    676.60x = 933.67 × 381.85
  4. Step 4: Simplify right side
    676.60x = 356,521.89
  5. Step 5: Solve for x
    x = 356,521.89/676.60
  6. Step 6: Final answer
    x = 526.93

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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.