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Finding the Fourth Proportional to 422.92, 583.68 and 265.60

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Solution

The fourth proportional to 422.92, 583.68 and 265.60 is: 366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 583.68 = 265.60 : x
  2. Step 2: Convert to fraction form
    422.92/583.68 = 265.60/x
  3. Step 3: Cross multiply
    422.92x = 583.68 × 265.60
  4. Step 4: Simplify right side
    422.92x = 155,025.41
  5. Step 5: Solve for x
    x = 155,025.41/422.92
  6. Step 6: Final answer
    x = 366.56

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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.