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Finding the Fourth Proportional to 738.24, 1,107.41 and 305.25

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Solution

The fourth proportional to 738.24, 1,107.41 and 305.25 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.24 : 1,107.41 = 305.25 : x
  2. Step 2: Convert to fraction form
    738.24/1,107.41 = 305.25/x
  3. Step 3: Cross multiply
    738.24x = 1,107.41 × 305.25
  4. Step 4: Simplify right side
    738.24x = 338,035.38
  5. Step 5: Solve for x
    x = 338,035.38/738.24
  6. Step 6: Final answer
    x = 457.89

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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.