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Finding the Fourth Proportional to 676.12, 1,014.35 and 346.93

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Solution

The fourth proportional to 676.12, 1,014.35 and 346.93 is: 520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.12 : 1,014.35 = 346.93 : x
  2. Step 2: Convert to fraction form
    676.12/1,014.35 = 346.93/x
  3. Step 3: Cross multiply
    676.12x = 1,014.35 × 346.93
  4. Step 4: Simplify right side
    676.12x = 351,910.86
  5. Step 5: Solve for x
    x = 351,910.86/676.12
  6. Step 6: Final answer
    x = 520.48

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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.