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Finding the Fourth Proportional to 422.78, 583.24 and 265.36

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Solution

The fourth proportional to 422.78, 583.24 and 265.36 is: 366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 583.24 = 265.36 : x
  2. Step 2: Convert to fraction form
    422.78/583.24 = 265.36/x
  3. Step 3: Cross multiply
    422.78x = 583.24 × 265.36
  4. Step 4: Simplify right side
    422.78x = 154,768.57
  5. Step 5: Solve for x
    x = 154,768.57/422.78
  6. Step 6: Final answer
    x = 366.07

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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.