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Finding the Fourth Proportional to 509.22, 703.19 and 481.94

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Solution

The fourth proportional to 509.22, 703.19 and 481.94 is: 665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.22 : 703.19 = 481.94 : x
  2. Step 2: Convert to fraction form
    509.22/703.19 = 481.94/x
  3. Step 3: Cross multiply
    509.22x = 703.19 × 481.94
  4. Step 4: Simplify right side
    509.22x = 338,895.39
  5. Step 5: Solve for x
    x = 338,895.39/509.22
  6. Step 6: Final answer
    x = 665.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.