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Finding the Fourth Proportional to 738.14, 1,106.91 and 327.24

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Solution

The fourth proportional to 738.14, 1,106.91 and 327.24 is: 490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.14 : 1,106.91 = 327.24 : x
  2. Step 2: Convert to fraction form
    738.14/1,106.91 = 327.24/x
  3. Step 3: Cross multiply
    738.14x = 1,106.91 × 327.24
  4. Step 4: Simplify right side
    738.14x = 362,225.23
  5. Step 5: Solve for x
    x = 362,225.23/738.14
  6. Step 6: Final answer
    x = 490.73

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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.