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Finding the Fourth Proportional to 413.84, 619.47 and 259.23

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Solution

The fourth proportional to 413.84, 619.47 and 259.23 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 619.47 = 259.23 : x
  2. Step 2: Convert to fraction form
    413.84/619.47 = 259.23/x
  3. Step 3: Cross multiply
    413.84x = 619.47 × 259.23
  4. Step 4: Simplify right side
    413.84x = 160,585.21
  5. Step 5: Solve for x
    x = 160,585.21/413.84
  6. Step 6: Final answer
    x = 388.04

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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.