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Finding the Fourth Proportional to 638.57, 957.02 and 463.48

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Solution

The fourth proportional to 638.57, 957.02 and 463.48 is: 694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.57 : 957.02 = 463.48 : x
  2. Step 2: Convert to fraction form
    638.57/957.02 = 463.48/x
  3. Step 3: Cross multiply
    638.57x = 957.02 × 463.48
  4. Step 4: Simplify right side
    638.57x = 443,554.92
  5. Step 5: Solve for x
    x = 443,554.92/638.57
  6. Step 6: Final answer
    x = 694.60

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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.