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Finding the Fourth Proportional to 845.27, 1,267.96 and 325.10

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Solution

The fourth proportional to 845.27, 1,267.96 and 325.10 is: 487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.27 : 1,267.96 = 325.10 : x
  2. Step 2: Convert to fraction form
    845.27/1,267.96 = 325.10/x
  3. Step 3: Cross multiply
    845.27x = 1,267.96 × 325.10
  4. Step 4: Simplify right side
    845.27x = 412,215.02
  5. Step 5: Solve for x
    x = 412,215.02/845.27
  6. Step 6: Final answer
    x = 487.67

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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.