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Finding the Fourth Proportional to 412, 568.36 and 246.12

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Solution

The fourth proportional to 412, 568.36 and 246.12 is: 339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 568.36 = 246.12 : x
  2. Step 2: Convert to fraction form
    412/568.36 = 246.12/x
  3. Step 3: Cross multiply
    412x = 568.36 × 246.12
  4. Step 4: Simplify right side
    412x = 139,884.76
  5. Step 5: Solve for x
    x = 139,884.76/412
  6. Step 6: Final answer
    x = 339.53

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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.