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Finding the Fourth Proportional to 738.16, 1,106.37 and 326.44

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Solution

The fourth proportional to 738.16, 1,106.37 and 326.44 is: 489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,106.37 = 326.44 : x
  2. Step 2: Convert to fraction form
    738.16/1,106.37 = 326.44/x
  3. Step 3: Cross multiply
    738.16x = 1,106.37 × 326.44
  4. Step 4: Simplify right side
    738.16x = 361,163.42
  5. Step 5: Solve for x
    x = 361,163.42/738.16
  6. Step 6: Final answer
    x = 489.28

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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.