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Finding the Fourth Proportional to 485.22, 727.83 and 412.94

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Solution

The fourth proportional to 485.22, 727.83 and 412.94 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.22 : 727.83 = 412.94 : x
  2. Step 2: Convert to fraction form
    485.22/727.83 = 412.94/x
  3. Step 3: Cross multiply
    485.22x = 727.83 × 412.94
  4. Step 4: Simplify right side
    485.22x = 300,546.48
  5. Step 5: Solve for x
    x = 300,546.48/485.22
  6. Step 6: Final answer
    x = 619.40

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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.