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Finding the Fourth Proportional to 422.83, 583.42 and 265.41

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Solution

The fourth proportional to 422.83, 583.42 and 265.41 is: 366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.83 : 583.42 = 265.41 : x
  2. Step 2: Convert to fraction form
    422.83/583.42 = 265.41/x
  3. Step 3: Cross multiply
    422.83x = 583.42 × 265.41
  4. Step 4: Simplify right side
    422.83x = 154,841.26
  5. Step 5: Solve for x
    x = 154,841.26/422.83
  6. Step 6: Final answer
    x = 366.20

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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.