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Finding the Fourth Proportional to 411, 567.18 and 255.75

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Solution

The fourth proportional to 411, 567.18 and 255.75 is: 352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 567.18 = 255.75 : x
  2. Step 2: Convert to fraction form
    411/567.18 = 255.75/x
  3. Step 3: Cross multiply
    411x = 567.18 × 255.75
  4. Step 4: Simplify right side
    411x = 145,056.29
  5. Step 5: Solve for x
    x = 145,056.29/411
  6. Step 6: Final answer
    x = 352.94

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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.