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Finding the Fourth Proportional to 411.95, 568.41 and 264.53

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Solution

The fourth proportional to 411.95, 568.41 and 264.53 is: 365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 568.41 = 264.53 : x
  2. Step 2: Convert to fraction form
    411.95/568.41 = 264.53/x
  3. Step 3: Cross multiply
    411.95x = 568.41 × 264.53
  4. Step 4: Simplify right side
    411.95x = 150,361.50
  5. Step 5: Solve for x
    x = 150,361.50/411.95
  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.