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Finding the Fourth Proportional to 422.15, 582.64 and 264.87

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Solution

The fourth proportional to 422.15, 582.64 and 264.87 is: 365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.15 : 582.64 = 264.87 : x
  2. Step 2: Convert to fraction form
    422.15/582.64 = 264.87/x
  3. Step 3: Cross multiply
    422.15x = 582.64 × 264.87
  4. Step 4: Simplify right side
    422.15x = 154,323.19
  5. Step 5: Solve for x
    x = 154,323.19/422.15
  6. Step 6: Final answer
    x = 365.57

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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.