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Finding the Fourth Proportional to 676.88, 934.09 and 366.38

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Solution

The fourth proportional to 676.88, 934.09 and 366.38 is: 505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.88 : 934.09 = 366.38 : x
  2. Step 2: Convert to fraction form
    676.88/934.09 = 366.38/x
  3. Step 3: Cross multiply
    676.88x = 934.09 × 366.38
  4. Step 4: Simplify right side
    676.88x = 342,226.31
  5. Step 5: Solve for x
    x = 342,226.31/676.88
  6. Step 6: Final answer
    x = 505.60

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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.