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Finding the Fourth Proportional to 412.17, 568.52 and 246.25

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Solution

The fourth proportional to 412.17, 568.52 and 246.25 is: 339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 568.52 = 246.25 : x
  2. Step 2: Convert to fraction form
    412.17/568.52 = 246.25/x
  3. Step 3: Cross multiply
    412.17x = 568.52 × 246.25
  4. Step 4: Simplify right side
    412.17x = 139,998.05
  5. Step 5: Solve for x
    x = 139,998.05/412.17
  6. Step 6: Final answer
    x = 339.66

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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.