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Finding the Fourth Proportional to 613.94, 847.01 and 377.80

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Solution

The fourth proportional to 613.94, 847.01 and 377.80 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.94 : 847.01 = 377.80 : x
  2. Step 2: Convert to fraction form
    613.94/847.01 = 377.80/x
  3. Step 3: Cross multiply
    613.94x = 847.01 × 377.80
  4. Step 4: Simplify right side
    613.94x = 319,999.20
  5. Step 5: Solve for x
    x = 319,999.20/613.94
  6. Step 6: Final answer
    x = 521.23

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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.