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Finding the Fourth Proportional to 422.48, 633.78 and 374.19

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Solution

The fourth proportional to 422.48, 633.78 and 374.19 is: 561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 633.78 = 374.19 : x
  2. Step 2: Convert to fraction form
    422.48/633.78 = 374.19/x
  3. Step 3: Cross multiply
    422.48x = 633.78 × 374.19
  4. Step 4: Simplify right side
    422.48x = 237,154.14
  5. Step 5: Solve for x
    x = 237,154.14/422.48
  6. Step 6: Final answer
    x = 561.34

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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.