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Finding the Fourth Proportional to 422.87, 583.35 and 265.33

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Solution

The fourth proportional to 422.87, 583.35 and 265.33 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.87 : 583.35 = 265.33 : x
  2. Step 2: Convert to fraction form
    422.87/583.35 = 265.33/x
  3. Step 3: Cross multiply
    422.87x = 583.35 × 265.33
  4. Step 4: Simplify right side
    422.87x = 154,778.20
  5. Step 5: Solve for x
    x = 154,778.20/422.87
  6. Step 6: Final answer
    x = 366.02

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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.