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Finding the Fourth Proportional to 411.84, 568.52 and 262.66

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Solution

The fourth proportional to 411.84, 568.52 and 262.66 is: 362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 568.52 = 262.66 : x
  2. Step 2: Convert to fraction form
    411.84/568.52 = 262.66/x
  3. Step 3: Cross multiply
    411.84x = 568.52 × 262.66
  4. Step 4: Simplify right side
    411.84x = 149,328.19
  5. Step 5: Solve for x
    x = 149,328.19/411.84
  6. Step 6: Final answer
    x = 362.59

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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.