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Finding the Fourth Proportional to 274.88, 413.86 and 240.86

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Solution

The fourth proportional to 274.88, 413.86 and 240.86 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 413.86 = 240.86 : x
  2. Step 2: Convert to fraction form
    274.88/413.86 = 240.86/x
  3. Step 3: Cross multiply
    274.88x = 413.86 × 240.86
  4. Step 4: Simplify right side
    274.88x = 99,682.32
  5. Step 5: Solve for x
    x = 99,682.32/274.88
  6. Step 6: Final answer
    x = 362.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.