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Finding the Fourth Proportional to 410.82, 567.05 and 245.14

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Solution

The fourth proportional to 410.82, 567.05 and 245.14 is: 338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 567.05 = 245.14 : x
  2. Step 2: Convert to fraction form
    410.82/567.05 = 245.14/x
  3. Step 3: Cross multiply
    410.82x = 567.05 × 245.14
  4. Step 4: Simplify right side
    410.82x = 139,008.56
  5. Step 5: Solve for x
    x = 139,008.56/410.82
  6. Step 6: Final answer
    x = 338.37

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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.