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Finding the Fourth Proportional to 422.04, 582.12 and 264.54

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Solution

The fourth proportional to 422.04, 582.12 and 264.54 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.04 : 582.12 = 264.54 : x
  2. Step 2: Convert to fraction form
    422.04/582.12 = 264.54/x
  3. Step 3: Cross multiply
    422.04x = 582.12 × 264.54
  4. Step 4: Simplify right side
    422.04x = 153,994.02
  5. Step 5: Solve for x
    x = 153,994.02/422.04
  6. Step 6: Final answer
    x = 364.88

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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.