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Finding the Fourth Proportional to 638.72, 957.12 and 313.68

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Solution

The fourth proportional to 638.72, 957.12 and 313.68 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.72 : 957.12 = 313.68 : x
  2. Step 2: Convert to fraction form
    638.72/957.12 = 313.68/x
  3. Step 3: Cross multiply
    638.72x = 957.12 × 313.68
  4. Step 4: Simplify right side
    638.72x = 300,229.40
  5. Step 5: Solve for x
    x = 300,229.40/638.72
  6. Step 6: Final answer
    x = 470.05

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Why These Related Problems?

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