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Finding the Fourth Proportional to 613.98, 847.31 and 352.01

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Solution

The fourth proportional to 613.98, 847.31 and 352.01 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.98 : 847.31 = 352.01 : x
  2. Step 2: Convert to fraction form
    613.98/847.31 = 352.01/x
  3. Step 3: Cross multiply
    613.98x = 847.31 × 352.01
  4. Step 4: Simplify right side
    613.98x = 298,261.95
  5. Step 5: Solve for x
    x = 298,261.95/613.98
  6. Step 6: Final answer
    x = 485.78

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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.