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Finding the Fourth Proportional to 411.84, 568.62 and 264.66

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Solution

The fourth proportional to 411.84, 568.62 and 264.66 is: 365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 568.62 = 264.66 : x
  2. Step 2: Convert to fraction form
    411.84/568.62 = 264.66/x
  3. Step 3: Cross multiply
    411.84x = 568.62 × 264.66
  4. Step 4: Simplify right side
    411.84x = 150,490.97
  5. Step 5: Solve for x
    x = 150,490.97/411.84
  6. Step 6: Final answer
    x = 365.41

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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.