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Finding the Fourth Proportional to 321.75, 484.29 and 274.77

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Solution

The fourth proportional to 321.75, 484.29 and 274.77 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 484.29 = 274.77 : x
  2. Step 2: Convert to fraction form
    321.75/484.29 = 274.77/x
  3. Step 3: Cross multiply
    321.75x = 484.29 × 274.77
  4. Step 4: Simplify right side
    321.75x = 133,068.36
  5. Step 5: Solve for x
    x = 133,068.36/321.75
  6. Step 6: Final answer
    x = 413.58

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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.