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Finding the Fourth Proportional to 422.47, 633.71 and 206.07

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Solution

The fourth proportional to 422.47, 633.71 and 206.07 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.47 : 633.71 = 206.07 : x
  2. Step 2: Convert to fraction form
    422.47/633.71 = 206.07/x
  3. Step 3: Cross multiply
    422.47x = 633.71 × 206.07
  4. Step 4: Simplify right side
    422.47x = 130,588.62
  5. Step 5: Solve for x
    x = 130,588.62/422.47
  6. Step 6: Final answer
    x = 309.11

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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.