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Finding the Fourth Proportional to 413.07, 619.27 and 282.74

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Solution

The fourth proportional to 413.07, 619.27 and 282.74 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.07 : 619.27 = 282.74 : x
  2. Step 2: Convert to fraction form
    413.07/619.27 = 282.74/x
  3. Step 3: Cross multiply
    413.07x = 619.27 × 282.74
  4. Step 4: Simplify right side
    413.07x = 175,092.08
  5. Step 5: Solve for x
    x = 175,092.08/413.07
  6. Step 6: Final answer
    x = 423.88

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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.