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Finding the Fourth Proportional to 477.81, 716.31 and 234.45

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Solution

The fourth proportional to 477.81, 716.31 and 234.45 is: 351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.81 : 716.31 = 234.45 : x
  2. Step 2: Convert to fraction form
    477.81/716.31 = 234.45/x
  3. Step 3: Cross multiply
    477.81x = 716.31 × 234.45
  4. Step 4: Simplify right side
    477.81x = 167,938.88
  5. Step 5: Solve for x
    x = 167,938.88/477.81
  6. Step 6: Final answer
    x = 351.48

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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.