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Finding the Fourth Proportional to 300.24, 452.70 and 274.32

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Solution

The fourth proportional to 300.24, 452.70 and 274.32 is: 413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 452.70 = 274.32 : x
  2. Step 2: Convert to fraction form
    300.24/452.70 = 274.32/x
  3. Step 3: Cross multiply
    300.24x = 452.70 × 274.32
  4. Step 4: Simplify right side
    300.24x = 124,184.66
  5. Step 5: Solve for x
    x = 124,184.66/300.24
  6. Step 6: Final answer
    x = 413.62

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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.