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Finding the Fourth Proportional to 738.30, 1,106.41 and 409.39

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Solution

The fourth proportional to 738.30, 1,106.41 and 409.39 is: 613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.30 : 1,106.41 = 409.39 : x
  2. Step 2: Convert to fraction form
    738.30/1,106.41 = 409.39/x
  3. Step 3: Cross multiply
    738.30x = 1,106.41 × 409.39
  4. Step 4: Simplify right side
    738.30x = 452,947.83
  5. Step 5: Solve for x
    x = 452,947.83/738.30
  6. Step 6: Final answer
    x = 613.50

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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.