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Finding the Fourth Proportional to 701.45, 1,052.78 and 336.34

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Solution

The fourth proportional to 701.45, 1,052.78 and 336.34 is: 504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.45 : 1,052.78 = 336.34 : x
  2. Step 2: Convert to fraction form
    701.45/1,052.78 = 336.34/x
  3. Step 3: Cross multiply
    701.45x = 1,052.78 × 336.34
  4. Step 4: Simplify right side
    701.45x = 354,092.03
  5. Step 5: Solve for x
    x = 354,092.03/701.45
  6. Step 6: Final answer
    x = 504.80

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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.