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Finding the Fourth Proportional to 410.96, 567.38 and 305.94

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Solution

The fourth proportional to 410.96, 567.38 and 305.94 is: 422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 567.38 = 305.94 : x
  2. Step 2: Convert to fraction form
    410.96/567.38 = 305.94/x
  3. Step 3: Cross multiply
    410.96x = 567.38 × 305.94
  4. Step 4: Simplify right side
    410.96x = 173,584.24
  5. Step 5: Solve for x
    x = 173,584.24/410.96
  6. Step 6: Final answer
    x = 422.39

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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.