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Finding the Fourth Proportional to 412.44, 568.86 and 246.50

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Solution

The fourth proportional to 412.44, 568.86 and 246.50 is: 339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 568.86 = 246.50 : x
  2. Step 2: Convert to fraction form
    412.44/568.86 = 246.50/x
  3. Step 3: Cross multiply
    412.44x = 568.86 × 246.50
  4. Step 4: Simplify right side
    412.44x = 140,223.99
  5. Step 5: Solve for x
    x = 140,223.99/412.44
  6. Step 6: Final answer
    x = 339.99

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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.