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Finding the Fourth Proportional to 613.98, 847.27 and 334.21

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Solution

The fourth proportional to 613.98, 847.27 and 334.21 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.98 : 847.27 = 334.21 : x
  2. Step 2: Convert to fraction form
    613.98/847.27 = 334.21/x
  3. Step 3: Cross multiply
    613.98x = 847.27 × 334.21
  4. Step 4: Simplify right side
    613.98x = 283,166.11
  5. Step 5: Solve for x
    x = 283,166.11/613.98
  6. Step 6: Final answer
    x = 461.20

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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.