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Finding the Fourth Proportional to 412.61, 569.34 and 246.79

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Solution

The fourth proportional to 412.61, 569.34 and 246.79 is: 340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.61 : 569.34 = 246.79 : x
  2. Step 2: Convert to fraction form
    412.61/569.34 = 246.79/x
  3. Step 3: Cross multiply
    412.61x = 569.34 × 246.79
  4. Step 4: Simplify right side
    412.61x = 140,504.57
  5. Step 5: Solve for x
    x = 140,504.57/412.61
  6. Step 6: Final answer
    x = 340.53

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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.