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Finding the Fourth Proportional to 411.24, 567.48 and 234.18

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Solution

The fourth proportional to 411.24, 567.48 and 234.18 is: 323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 567.48 = 234.18 : x
  2. Step 2: Convert to fraction form
    411.24/567.48 = 234.18/x
  3. Step 3: Cross multiply
    411.24x = 567.48 × 234.18
  4. Step 4: Simplify right side
    411.24x = 132,892.47
  5. Step 5: Solve for x
    x = 132,892.47/411.24
  6. Step 6: Final answer
    x = 323.15

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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.