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Finding the Fourth Proportional to 411.69, 568.40 and 300.96

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Solution

The fourth proportional to 411.69, 568.40 and 300.96 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.69 : 568.40 = 300.96 : x
  2. Step 2: Convert to fraction form
    411.69/568.40 = 300.96/x
  3. Step 3: Cross multiply
    411.69x = 568.40 × 300.96
  4. Step 4: Simplify right side
    411.69x = 171,064.16
  5. Step 5: Solve for x
    x = 171,064.16/411.69
  6. Step 6: Final answer
    x = 415.52

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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.