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Finding the Fourth Proportional to 676.19, 1,013.59 and 367.39

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Solution

The fourth proportional to 676.19, 1,013.59 and 367.39 is: 550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.19 : 1,013.59 = 367.39 : x
  2. Step 2: Convert to fraction form
    676.19/1,013.59 = 367.39/x
  3. Step 3: Cross multiply
    676.19x = 1,013.59 × 367.39
  4. Step 4: Simplify right side
    676.19x = 372,379.38
  5. Step 5: Solve for x
    x = 372,379.38/676.19
  6. Step 6: Final answer
    x = 550.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.