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Finding the Fourth Proportional to 410.95, 567.24 and 245.21

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Solution

The fourth proportional to 410.95, 567.24 and 245.21 is: 338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.95 : 567.24 = 245.21 : x
  2. Step 2: Convert to fraction form
    410.95/567.24 = 245.21/x
  3. Step 3: Cross multiply
    410.95x = 567.24 × 245.21
  4. Step 4: Simplify right side
    410.95x = 139,092.92
  5. Step 5: Solve for x
    x = 139,092.92/410.95
  6. Step 6: Final answer
    x = 338.47

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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.