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Finding the Fourth Proportional to 412.36, 567.75 and 391.84

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Solution

The fourth proportional to 412.36, 567.75 and 391.84 is: 539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 567.75 = 391.84 : x
  2. Step 2: Convert to fraction form
    412.36/567.75 = 391.84/x
  3. Step 3: Cross multiply
    412.36x = 567.75 × 391.84
  4. Step 4: Simplify right side
    412.36x = 222,467.16
  5. Step 5: Solve for x
    x = 222,467.16/412.36
  6. Step 6: Final answer
    x = 539.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.