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Finding the Fourth Proportional to 412.60, 569.60 and 272.92

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Solution

The fourth proportional to 412.60, 569.60 and 272.92 is: 376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 569.60 = 272.92 : x
  2. Step 2: Convert to fraction form
    412.60/569.60 = 272.92/x
  3. Step 3: Cross multiply
    412.60x = 569.60 × 272.92
  4. Step 4: Simplify right side
    412.60x = 155,455.23
  5. Step 5: Solve for x
    x = 155,455.23/412.60
  6. Step 6: Final answer
    x = 376.77

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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.