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Finding the Fourth Proportional to 410.82, 567.13 and 263.54

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Solution

The fourth proportional to 410.82, 567.13 and 263.54 is: 363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 567.13 = 263.54 : x
  2. Step 2: Convert to fraction form
    410.82/567.13 = 263.54/x
  3. Step 3: Cross multiply
    410.82x = 567.13 × 263.54
  4. Step 4: Simplify right side
    410.82x = 149,461.44
  5. Step 5: Solve for x
    x = 149,461.44/410.82
  6. Step 6: Final answer
    x = 363.81

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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.