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Finding the Fourth Proportional to 738.45, 1,108.08 and 327.78

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Solution

The fourth proportional to 738.45, 1,108.08 and 327.78 is: 491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.45 : 1,108.08 = 327.78 : x
  2. Step 2: Convert to fraction form
    738.45/1,108.08 = 327.78/x
  3. Step 3: Cross multiply
    738.45x = 1,108.08 × 327.78
  4. Step 4: Simplify right side
    738.45x = 363,206.46
  5. Step 5: Solve for x
    x = 363,206.46/738.45
  6. Step 6: Final answer
    x = 491.85

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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.