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Finding the Fourth Proportional to 676.24, 1,014.70 and 310.98

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Solution

The fourth proportional to 676.24, 1,014.70 and 310.98 is: 466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.24 : 1,014.70 = 310.98 : x
  2. Step 2: Convert to fraction form
    676.24/1,014.70 = 310.98/x
  3. Step 3: Cross multiply
    676.24x = 1,014.70 × 310.98
  4. Step 4: Simplify right side
    676.24x = 315,551.41
  5. Step 5: Solve for x
    x = 315,551.41/676.24
  6. Step 6: Final answer
    x = 466.63

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Why These Related Problems?

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