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Finding the Fourth Proportional to 638.22, 957.21 and 364.62

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Solution

The fourth proportional to 638.22, 957.21 and 364.62 is: 546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.22 : 957.21 = 364.62 : x
  2. Step 2: Convert to fraction form
    638.22/957.21 = 364.62/x
  3. Step 3: Cross multiply
    638.22x = 957.21 × 364.62
  4. Step 4: Simplify right side
    638.22x = 349,017.91
  5. Step 5: Solve for x
    x = 349,017.91/638.22
  6. Step 6: Final answer
    x = 546.86

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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.