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Finding the Fourth Proportional to 638.16, 957.48 and 227.58

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Solution

The fourth proportional to 638.16, 957.48 and 227.58 is: 341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 957.48 = 227.58 : x
  2. Step 2: Convert to fraction form
    638.16/957.48 = 227.58/x
  3. Step 3: Cross multiply
    638.16x = 957.48 × 227.58
  4. Step 4: Simplify right side
    638.16x = 217,903.30
  5. Step 5: Solve for x
    x = 217,903.30/638.16
  6. Step 6: Final answer
    x = 341.46

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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.