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Finding the Fourth Proportional to 422.08, 632.40 and 298.42

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Solution

The fourth proportional to 422.08, 632.40 and 298.42 is: 447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 632.40 = 298.42 : x
  2. Step 2: Convert to fraction form
    422.08/632.40 = 298.42/x
  3. Step 3: Cross multiply
    422.08x = 632.40 × 298.42
  4. Step 4: Simplify right side
    422.08x = 188,720.81
  5. Step 5: Solve for x
    x = 188,720.81/422.08
  6. Step 6: Final answer
    x = 447.12

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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.