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Finding the Fourth Proportional to 738.05, 1,107.34 and 326.89

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Solution

The fourth proportional to 738.05, 1,107.34 and 326.89 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.05 : 1,107.34 = 326.89 : x
  2. Step 2: Convert to fraction form
    738.05/1,107.34 = 326.89/x
  3. Step 3: Cross multiply
    738.05x = 1,107.34 × 326.89
  4. Step 4: Simplify right side
    738.05x = 361,974.79
  5. Step 5: Solve for x
    x = 361,974.79/738.05
  6. Step 6: Final answer
    x = 490.45

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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.