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Finding the Fourth Proportional to 411.49, 567.75 and 245.63

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Solution

The fourth proportional to 411.49, 567.75 and 245.63 is: 338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 567.75 = 245.63 : x
  2. Step 2: Convert to fraction form
    411.49/567.75 = 245.63/x
  3. Step 3: Cross multiply
    411.49x = 567.75 × 245.63
  4. Step 4: Simplify right side
    411.49x = 139,456.43
  5. Step 5: Solve for x
    x = 139,456.43/411.49
  6. Step 6: Final answer
    x = 338.91

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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.