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Finding the Fourth Proportional to 591.22, 813.72 and 451.09

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Solution

The fourth proportional to 591.22, 813.72 and 451.09 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.22 : 813.72 = 451.09 : x
  2. Step 2: Convert to fraction form
    591.22/813.72 = 451.09/x
  3. Step 3: Cross multiply
    591.22x = 813.72 × 451.09
  4. Step 4: Simplify right side
    591.22x = 367,060.95
  5. Step 5: Solve for x
    x = 367,060.95/591.22
  6. Step 6: Final answer
    x = 620.85

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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.