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Finding the Fourth Proportional to 362.10, 543.42 and 275.70

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Solution

The fourth proportional to 362.10, 543.42 and 275.70 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 543.42 = 275.70 : x
  2. Step 2: Convert to fraction form
    362.10/543.42 = 275.70/x
  3. Step 3: Cross multiply
    362.10x = 543.42 × 275.70
  4. Step 4: Simplify right side
    362.10x = 149,820.89
  5. Step 5: Solve for x
    x = 149,820.89/362.10
  6. Step 6: Final answer
    x = 413.76

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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.