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Finding the Fourth Proportional to 484.33, 667.95 and 422.06

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Solution

The fourth proportional to 484.33, 667.95 and 422.06 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.33 : 667.95 = 422.06 : x
  2. Step 2: Convert to fraction form
    484.33/667.95 = 422.06/x
  3. Step 3: Cross multiply
    484.33x = 667.95 × 422.06
  4. Step 4: Simplify right side
    484.33x = 281,913.81
  5. Step 5: Solve for x
    x = 281,913.81/484.33
  6. Step 6: Final answer
    x = 582.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.