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Finding the Fourth Proportional to 422.88, 583.05 and 312.31

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Solution

The fourth proportional to 422.88, 583.05 and 312.31 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 583.05 = 312.31 : x
  2. Step 2: Convert to fraction form
    422.88/583.05 = 312.31/x
  3. Step 3: Cross multiply
    422.88x = 583.05 × 312.31
  4. Step 4: Simplify right side
    422.88x = 182,092.35
  5. Step 5: Solve for x
    x = 182,092.35/422.88
  6. Step 6: Final answer
    x = 430.60

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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.