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Finding the Fourth Proportional to 638.57, 957.78 and 176.39

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Solution

The fourth proportional to 638.57, 957.78 and 176.39 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.57 : 957.78 = 176.39 : x
  2. Step 2: Convert to fraction form
    638.57/957.78 = 176.39/x
  3. Step 3: Cross multiply
    638.57x = 957.78 × 176.39
  4. Step 4: Simplify right side
    638.57x = 168,942.81
  5. Step 5: Solve for x
    x = 168,942.81/638.57
  6. Step 6: Final answer
    x = 264.56

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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.