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Finding the Fourth Proportional to 412.80, 585.60 and 412.80

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Solution

The fourth proportional to 412.80, 585.60 and 412.80 is: 585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 585.60 = 412.80 : x
  2. Step 2: Convert to fraction form
    412.80/585.60 = 412.80/x
  3. Step 3: Cross multiply
    412.80x = 585.60 × 412.80
  4. Step 4: Simplify right side
    412.80x = 241,735.68
  5. Step 5: Solve for x
    x = 241,735.68/412.80
  6. Step 6: Final answer
    x = 585.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.