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Finding the Fourth Proportional to 738.29, 1,106.69 and 275.78

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Solution

The fourth proportional to 738.29, 1,106.69 and 275.78 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.29 : 1,106.69 = 275.78 : x
  2. Step 2: Convert to fraction form
    738.29/1,106.69 = 275.78/x
  3. Step 3: Cross multiply
    738.29x = 1,106.69 × 275.78
  4. Step 4: Simplify right side
    738.29x = 305,204.36
  5. Step 5: Solve for x
    x = 305,204.36/738.29
  6. Step 6: Final answer
    x = 413.39

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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.