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Finding the Fourth Proportional to 443.07, 661.28 and 413.91

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Solution

The fourth proportional to 443.07, 661.28 and 413.91 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 661.28 = 413.91 : x
  2. Step 2: Convert to fraction form
    443.07/661.28 = 413.91/x
  3. Step 3: Cross multiply
    443.07x = 661.28 × 413.91
  4. Step 4: Simplify right side
    443.07x = 273,707.10
  5. Step 5: Solve for x
    x = 273,707.10/443.07
  6. Step 6: Final answer
    x = 617.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.