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Finding the Fourth Proportional to 411.75, 568.17 and 264.42

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Solution

The fourth proportional to 411.75, 568.17 and 264.42 is: 364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 568.17 = 264.42 : x
  2. Step 2: Convert to fraction form
    411.75/568.17 = 264.42/x
  3. Step 3: Cross multiply
    411.75x = 568.17 × 264.42
  4. Step 4: Simplify right side
    411.75x = 150,235.51
  5. Step 5: Solve for x
    x = 150,235.51/411.75
  6. Step 6: Final answer
    x = 364.87

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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.