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Finding the Fourth Proportional to 422.94, 583.64 and 265.60

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Solution

The fourth proportional to 422.94, 583.64 and 265.60 is: 366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 583.64 = 265.60 : x
  2. Step 2: Convert to fraction form
    422.94/583.64 = 265.60/x
  3. Step 3: Cross multiply
    422.94x = 583.64 × 265.60
  4. Step 4: Simplify right side
    422.94x = 155,015.18
  5. Step 5: Solve for x
    x = 155,015.18/422.94
  6. Step 6: Final answer
    x = 366.51

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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.