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Finding the Fourth Proportional to 468.59, 701.26 and 413.51

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Solution

The fourth proportional to 468.59, 701.26 and 413.51 is: 618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 701.26 = 413.51 : x
  2. Step 2: Convert to fraction form
    468.59/701.26 = 413.51/x
  3. Step 3: Cross multiply
    468.59x = 701.26 × 413.51
  4. Step 4: Simplify right side
    468.59x = 289,973.48
  5. Step 5: Solve for x
    x = 289,973.48/468.59
  6. Step 6: Final answer
    x = 618.83

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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.