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Finding the Fourth Proportional to 411.06, 567.25 and 236.40

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Solution

The fourth proportional to 411.06, 567.25 and 236.40 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 567.25 = 236.40 : x
  2. Step 2: Convert to fraction form
    411.06/567.25 = 236.40/x
  3. Step 3: Cross multiply
    411.06x = 567.25 × 236.40
  4. Step 4: Simplify right side
    411.06x = 134,097.90
  5. Step 5: Solve for x
    x = 134,097.90/411.06
  6. Step 6: Final answer
    x = 326.22

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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.