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Finding the Fourth Proportional to 411.82, 567.93 and 318.43

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Solution

The fourth proportional to 411.82, 567.93 and 318.43 is: 439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.82 : 567.93 = 318.43 : x
  2. Step 2: Convert to fraction form
    411.82/567.93 = 318.43/x
  3. Step 3: Cross multiply
    411.82x = 567.93 × 318.43
  4. Step 4: Simplify right side
    411.82x = 180,845.95
  5. Step 5: Solve for x
    x = 180,845.95/411.82
  6. Step 6: Final answer
    x = 439.14

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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.