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Finding the Fourth Proportional to 480.48, 661.79 and 413.96

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Solution

The fourth proportional to 480.48, 661.79 and 413.96 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 661.79 = 413.96 : x
  2. Step 2: Convert to fraction form
    480.48/661.79 = 413.96/x
  3. Step 3: Cross multiply
    480.48x = 661.79 × 413.96
  4. Step 4: Simplify right side
    480.48x = 273,949.21
  5. Step 5: Solve for x
    x = 273,949.21/480.48
  6. Step 6: Final answer
    x = 570.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.