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Finding the Fourth Proportional to 676.27, 933.16 and 377.48

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Solution

The fourth proportional to 676.27, 933.16 and 377.48 is: 520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.27 : 933.16 = 377.48 : x
  2. Step 2: Convert to fraction form
    676.27/933.16 = 377.48/x
  3. Step 3: Cross multiply
    676.27x = 933.16 × 377.48
  4. Step 4: Simplify right side
    676.27x = 352,245.49
  5. Step 5: Solve for x
    x = 352,245.49/676.27
  6. Step 6: Final answer
    x = 520.87

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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.