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Finding the Fourth Proportional to 411.67, 568.00 and 264.50

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Solution

The fourth proportional to 411.67, 568.00 and 264.50 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 568.00 = 264.50 : x
  2. Step 2: Convert to fraction form
    411.67/568.00 = 264.50/x
  3. Step 3: Cross multiply
    411.67x = 568.00 × 264.50
  4. Step 4: Simplify right side
    411.67x = 150,232.50
  5. Step 5: Solve for x
    x = 150,232.50/411.67
  6. Step 6: Final answer
    x = 364.94

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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.