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Finding the Fourth Proportional to 845.28, 1,267.28 and 412

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Solution

The fourth proportional to 845.28, 1,267.28 and 412 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.28 : 1,267.28 = 412 : x
  2. Step 2: Convert to fraction form
    845.28/1,267.28 = 412/x
  3. Step 3: Cross multiply
    845.28x = 1,267.28 × 412
  4. Step 4: Simplify right side
    845.28x = 522,119.36
  5. Step 5: Solve for x
    x = 522,119.36/845.28
  6. Step 6: Final answer
    x = 617.69

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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.