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Finding the Fourth Proportional to 412.67, 569.32 and 272.86

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Solution

The fourth proportional to 412.67, 569.32 and 272.86 is: 376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.67 : 569.32 = 272.86 : x
  2. Step 2: Convert to fraction form
    412.67/569.32 = 272.86/x
  3. Step 3: Cross multiply
    412.67x = 569.32 × 272.86
  4. Step 4: Simplify right side
    412.67x = 155,342.55
  5. Step 5: Solve for x
    x = 155,342.55/412.67
  6. Step 6: Final answer
    x = 376.43

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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.