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Finding the Fourth Proportional to 412.56, 569 and 281.36

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Solution

The fourth proportional to 412.56, 569 and 281.36 is: 388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 569 = 281.36 : x
  2. Step 2: Convert to fraction form
    412.56/569 = 281.36/x
  3. Step 3: Cross multiply
    412.56x = 569 × 281.36
  4. Step 4: Simplify right side
    412.56x = 160,093.84
  5. Step 5: Solve for x
    x = 160,093.84/412.56
  6. Step 6: Final answer
    x = 388.05

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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.