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Finding the Fourth Proportional to 411.72, 568.34 and 264.54

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Solution

The fourth proportional to 411.72, 568.34 and 264.54 is: 365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.72 : 568.34 = 264.54 : x
  2. Step 2: Convert to fraction form
    411.72/568.34 = 264.54/x
  3. Step 3: Cross multiply
    411.72x = 568.34 × 264.54
  4. Step 4: Simplify right side
    411.72x = 150,348.66
  5. Step 5: Solve for x
    x = 150,348.66/411.72
  6. Step 6: Final answer
    x = 365.17

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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.