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Finding the Fourth Proportional to 413.97, 621.54 and 251.76

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Solution

The fourth proportional to 413.97, 621.54 and 251.76 is: 378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 621.54 = 251.76 : x
  2. Step 2: Convert to fraction form
    413.97/621.54 = 251.76/x
  3. Step 3: Cross multiply
    413.97x = 621.54 × 251.76
  4. Step 4: Simplify right side
    413.97x = 156,478.91
  5. Step 5: Solve for x
    x = 156,478.91/413.97
  6. Step 6: Final answer
    x = 378.00

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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.