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Finding the Fourth Proportional to 477.82, 716.44 and 234.04

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Solution

The fourth proportional to 477.82, 716.44 and 234.04 is: 350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.82 : 716.44 = 234.04 : x
  2. Step 2: Convert to fraction form
    477.82/716.44 = 234.04/x
  3. Step 3: Cross multiply
    477.82x = 716.44 × 234.04
  4. Step 4: Simplify right side
    477.82x = 167,675.62
  5. Step 5: Solve for x
    x = 167,675.62/477.82
  6. Step 6: Final answer
    x = 350.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.