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Finding the Fourth Proportional to 412.60, 569.52 and 246.75

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Solution

The fourth proportional to 412.60, 569.52 and 246.75 is: 340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 569.52 = 246.75 : x
  2. Step 2: Convert to fraction form
    412.60/569.52 = 246.75/x
  3. Step 3: Cross multiply
    412.60x = 569.52 × 246.75
  4. Step 4: Simplify right side
    412.60x = 140,529.06
  5. Step 5: Solve for x
    x = 140,529.06/412.60
  6. Step 6: Final answer
    x = 340.59

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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.