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Finding the Fourth Proportional to 411.83, 568.26 and 264.47

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Solution

The fourth proportional to 411.83, 568.26 and 264.47 is: 364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.83 : 568.26 = 264.47 : x
  2. Step 2: Convert to fraction form
    411.83/568.26 = 264.47/x
  3. Step 3: Cross multiply
    411.83x = 568.26 × 264.47
  4. Step 4: Simplify right side
    411.83x = 150,284.88
  5. Step 5: Solve for x
    x = 150,284.88/411.83
  6. Step 6: Final answer
    x = 364.92

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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.