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Finding the Fourth Proportional to 676.36, 1,014.31 and 346.94

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Solution

The fourth proportional to 676.36, 1,014.31 and 346.94 is: 520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.36 : 1,014.31 = 346.94 : x
  2. Step 2: Convert to fraction form
    676.36/1,014.31 = 346.94/x
  3. Step 3: Cross multiply
    676.36x = 1,014.31 × 346.94
  4. Step 4: Simplify right side
    676.36x = 351,904.78
  5. Step 5: Solve for x
    x = 351,904.78/676.36
  6. Step 6: Final answer
    x = 520.29

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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.