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Finding the Fourth Proportional to 412.68, 569.36 and 246.96

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Solution

The fourth proportional to 412.68, 569.36 and 246.96 is: 340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 569.36 = 246.96 : x
  2. Step 2: Convert to fraction form
    412.68/569.36 = 246.96/x
  3. Step 3: Cross multiply
    412.68x = 569.36 × 246.96
  4. Step 4: Simplify right side
    412.68x = 140,609.15
  5. Step 5: Solve for x
    x = 140,609.15/412.68
  6. Step 6: Final answer
    x = 340.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.