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Finding the Fourth Proportional to 422.36, 632.62 and 412.03

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Solution

The fourth proportional to 422.36, 632.62 and 412.03 is: 617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.36 : 632.62 = 412.03 : x
  2. Step 2: Convert to fraction form
    422.36/632.62 = 412.03/x
  3. Step 3: Cross multiply
    422.36x = 632.62 × 412.03
  4. Step 4: Simplify right side
    422.36x = 260,655.81
  5. Step 5: Solve for x
    x = 260,655.81/422.36
  6. Step 6: Final answer
    x = 617.15

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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.