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Finding the Fourth Proportional to 738.52, 1,107.30 and 414.10

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Solution

The fourth proportional to 738.52, 1,107.30 and 414.10 is: 620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.52 : 1,107.30 = 414.10 : x
  2. Step 2: Convert to fraction form
    738.52/1,107.30 = 414.10/x
  3. Step 3: Cross multiply
    738.52x = 1,107.30 × 414.10
  4. Step 4: Simplify right side
    738.52x = 458,532.93
  5. Step 5: Solve for x
    x = 458,532.93/738.52
  6. Step 6: Final answer
    x = 620.88

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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.