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Finding the Fourth Proportional to 412.96, 569.64 and 273.02

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Solution

The fourth proportional to 412.96, 569.64 and 273.02 is: 376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 569.64 = 273.02 : x
  2. Step 2: Convert to fraction form
    412.96/569.64 = 273.02/x
  3. Step 3: Cross multiply
    412.96x = 569.64 × 273.02
  4. Step 4: Simplify right side
    412.96x = 155,523.11
  5. Step 5: Solve for x
    x = 155,523.11/412.96
  6. Step 6: Final answer
    x = 376.61

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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.