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Finding the Fourth Proportional to 701.45, 1,052.27 and 335.94

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Solution

The fourth proportional to 701.45, 1,052.27 and 335.94 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.45 : 1,052.27 = 335.94 : x
  2. Step 2: Convert to fraction form
    701.45/1,052.27 = 335.94/x
  3. Step 3: Cross multiply
    701.45x = 1,052.27 × 335.94
  4. Step 4: Simplify right side
    701.45x = 353,499.58
  5. Step 5: Solve for x
    x = 353,499.58/701.45
  6. Step 6: Final answer
    x = 503.96

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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.