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Finding the Fourth Proportional to 412.73, 569.40 and 281.51

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Solution

The fourth proportional to 412.73, 569.40 and 281.51 is: 388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.73 : 569.40 = 281.51 : x
  2. Step 2: Convert to fraction form
    412.73/569.40 = 281.51/x
  3. Step 3: Cross multiply
    412.73x = 569.40 × 281.51
  4. Step 4: Simplify right side
    412.73x = 160,291.79
  5. Step 5: Solve for x
    x = 160,291.79/412.73
  6. Step 6: Final answer
    x = 388.37

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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.