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Finding the Fourth Proportional to 638.41, 957.60 and 176.22

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Solution

The fourth proportional to 638.41, 957.60 and 176.22 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.41 : 957.60 = 176.22 : x
  2. Step 2: Convert to fraction form
    638.41/957.60 = 176.22/x
  3. Step 3: Cross multiply
    638.41x = 957.60 × 176.22
  4. Step 4: Simplify right side
    638.41x = 168,748.27
  5. Step 5: Solve for x
    x = 168,748.27/638.41
  6. Step 6: Final answer
    x = 264.32

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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.