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Finding the Fourth Proportional to 411.72, 567.89 and 264.53

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Solution

The fourth proportional to 411.72, 567.89 and 264.53 is: 364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.72 : 567.89 = 264.53 : x
  2. Step 2: Convert to fraction form
    411.72/567.89 = 264.53/x
  3. Step 3: Cross multiply
    411.72x = 567.89 × 264.53
  4. Step 4: Simplify right side
    411.72x = 150,219.78
  5. Step 5: Solve for x
    x = 150,219.78/411.72
  6. Step 6: Final answer
    x = 364.86

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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.