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Finding the Fourth Proportional to 676.46, 933.48 and 381.75

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Solution

The fourth proportional to 676.46, 933.48 and 381.75 is: 526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 933.48 = 381.75 : x
  2. Step 2: Convert to fraction form
    676.46/933.48 = 381.75/x
  3. Step 3: Cross multiply
    676.46x = 933.48 × 381.75
  4. Step 4: Simplify right side
    676.46x = 356,355.99
  5. Step 5: Solve for x
    x = 356,355.99/676.46
  6. Step 6: Final answer
    x = 526.80

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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.