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Finding the Fourth Proportional to 738.22, 1,106.62 and 275.87

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Solution

The fourth proportional to 738.22, 1,106.62 and 275.87 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.22 : 1,106.62 = 275.87 : x
  2. Step 2: Convert to fraction form
    738.22/1,106.62 = 275.87/x
  3. Step 3: Cross multiply
    738.22x = 1,106.62 × 275.87
  4. Step 4: Simplify right side
    738.22x = 305,283.26
  5. Step 5: Solve for x
    x = 305,283.26/738.22
  6. Step 6: Final answer
    x = 413.54

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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.