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Finding the Fourth Proportional to 411.87, 568.37 and 264.50

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Solution

The fourth proportional to 411.87, 568.37 and 264.50 is: 365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.87 : 568.37 = 264.50 : x
  2. Step 2: Convert to fraction form
    411.87/568.37 = 264.50/x
  3. Step 3: Cross multiply
    411.87x = 568.37 × 264.50
  4. Step 4: Simplify right side
    411.87x = 150,333.87
  5. Step 5: Solve for x
    x = 150,333.87/411.87
  6. Step 6: Final answer
    x = 365.00

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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.