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Finding the Fourth Proportional to 410.82, 567.08 and 245.09

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Solution

The fourth proportional to 410.82, 567.08 and 245.09 is: 338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 567.08 = 245.09 : x
  2. Step 2: Convert to fraction form
    410.82/567.08 = 245.09/x
  3. Step 3: Cross multiply
    410.82x = 567.08 × 245.09
  4. Step 4: Simplify right side
    410.82x = 138,981.58
  5. Step 5: Solve for x
    x = 138,981.58/410.82
  6. Step 6: Final answer
    x = 338.30

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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.