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Finding the Fourth Proportional to 676.53, 933.62 and 381.83

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Solution

The fourth proportional to 676.53, 933.62 and 381.83 is: 526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.53 : 933.62 = 381.83 : x
  2. Step 2: Convert to fraction form
    676.53/933.62 = 381.83/x
  3. Step 3: Cross multiply
    676.53x = 933.62 × 381.83
  4. Step 4: Simplify right side
    676.53x = 356,477.55
  5. Step 5: Solve for x
    x = 356,477.55/676.53
  6. Step 6: Final answer
    x = 526.92

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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.