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Finding the Fourth Proportional to 412.61, 569.27 and 281.39

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Solution

The fourth proportional to 412.61, 569.27 and 281.39 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.61 : 569.27 = 281.39 : x
  2. Step 2: Convert to fraction form
    412.61/569.27 = 281.39/x
  3. Step 3: Cross multiply
    412.61x = 569.27 × 281.39
  4. Step 4: Simplify right side
    412.61x = 160,182.63
  5. Step 5: Solve for x
    x = 160,182.63/412.61
  6. Step 6: Final answer
    x = 388.22

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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.