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Finding the Fourth Proportional to 422.67, 582.95 and 265.16

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Solution

The fourth proportional to 422.67, 582.95 and 265.16 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.67 : 582.95 = 265.16 : x
  2. Step 2: Convert to fraction form
    422.67/582.95 = 265.16/x
  3. Step 3: Cross multiply
    422.67x = 582.95 × 265.16
  4. Step 4: Simplify right side
    422.67x = 154,570.78
  5. Step 5: Solve for x
    x = 154,570.78/422.67
  6. Step 6: Final answer
    x = 365.70

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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.