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Finding the Fourth Proportional to 422.69, 583.77 and 376.88

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Solution

The fourth proportional to 422.69, 583.77 and 376.88 is: 520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.69 : 583.77 = 376.88 : x
  2. Step 2: Convert to fraction form
    422.69/583.77 = 376.88/x
  3. Step 3: Cross multiply
    422.69x = 583.77 × 376.88
  4. Step 4: Simplify right side
    422.69x = 220,009.35
  5. Step 5: Solve for x
    x = 220,009.35/422.69
  6. Step 6: Final answer
    x = 520.50

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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.