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Finding the Fourth Proportional to 701.12, 1,051.38 and 311.24

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Solution

The fourth proportional to 701.12, 1,051.38 and 311.24 is: 466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.12 : 1,051.38 = 311.24 : x
  2. Step 2: Convert to fraction form
    701.12/1,051.38 = 311.24/x
  3. Step 3: Cross multiply
    701.12x = 1,051.38 × 311.24
  4. Step 4: Simplify right side
    701.12x = 327,234.14
  5. Step 5: Solve for x
    x = 327,234.14/701.12
  6. Step 6: Final answer
    x = 466.73

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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.