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Finding the Fourth Proportional to 422.71, 583.33 and 275.62

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Solution

The fourth proportional to 422.71, 583.33 and 275.62 is: 380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.71 : 583.33 = 275.62 : x
  2. Step 2: Convert to fraction form
    422.71/583.33 = 275.62/x
  3. Step 3: Cross multiply
    422.71x = 583.33 × 275.62
  4. Step 4: Simplify right side
    422.71x = 160,777.41
  5. Step 5: Solve for x
    x = 160,777.41/422.71
  6. Step 6: Final answer
    x = 380.35

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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.