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Finding the Fourth Proportional to 738.68, 1,108.11 and 306.14

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Solution

The fourth proportional to 738.68, 1,108.11 and 306.14 is: 459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.68 : 1,108.11 = 306.14 : x
  2. Step 2: Convert to fraction form
    738.68/1,108.11 = 306.14/x
  3. Step 3: Cross multiply
    738.68x = 1,108.11 × 306.14
  4. Step 4: Simplify right side
    738.68x = 339,236.80
  5. Step 5: Solve for x
    x = 339,236.80/738.68
  6. Step 6: Final answer
    x = 459.25

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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.