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Finding the Fourth Proportional to 676.54, 933.58 and 381.80

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Solution

The fourth proportional to 676.54, 933.58 and 381.80 is: 526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.54 : 933.58 = 381.80 : x
  2. Step 2: Convert to fraction form
    676.54/933.58 = 381.80/x
  3. Step 3: Cross multiply
    676.54x = 933.58 × 381.80
  4. Step 4: Simplify right side
    676.54x = 356,440.84
  5. Step 5: Solve for x
    x = 356,440.84/676.54
  6. Step 6: Final answer
    x = 526.86

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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.