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Finding the Fourth Proportional to 493.04, 738.90 and 204.32

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Solution

The fourth proportional to 493.04, 738.90 and 204.32 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.04 : 738.90 = 204.32 : x
  2. Step 2: Convert to fraction form
    493.04/738.90 = 204.32/x
  3. Step 3: Cross multiply
    493.04x = 738.90 × 204.32
  4. Step 4: Simplify right side
    493.04x = 150,972.05
  5. Step 5: Solve for x
    x = 150,972.05/493.04
  6. Step 6: Final answer
    x = 306.21

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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.