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Finding the Fourth Proportional to 738.02, 1,106.52 and 326.94

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Solution

The fourth proportional to 738.02, 1,106.52 and 326.94 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,106.52 = 326.94 : x
  2. Step 2: Convert to fraction form
    738.02/1,106.52 = 326.94/x
  3. Step 3: Cross multiply
    738.02x = 1,106.52 × 326.94
  4. Step 4: Simplify right side
    738.02x = 361,765.65
  5. Step 5: Solve for x
    x = 361,765.65/738.02
  6. Step 6: Final answer
    x = 490.18

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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.