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Finding the Fourth Proportional to 422.10, 633.15 and 414.90

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Solution

The fourth proportional to 422.10, 633.15 and 414.90 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.10 : 633.15 = 414.90 : x
  2. Step 2: Convert to fraction form
    422.10/633.15 = 414.90/x
  3. Step 3: Cross multiply
    422.10x = 633.15 × 414.90
  4. Step 4: Simplify right side
    422.10x = 262,693.94
  5. Step 5: Solve for x
    x = 262,693.94/422.10
  6. Step 6: Final answer
    x = 622.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.