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Finding the Fourth Proportional to 443.80, 611.52 and 413.04

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Solution

The fourth proportional to 443.80, 611.52 and 413.04 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.80 : 611.52 = 413.04 : x
  2. Step 2: Convert to fraction form
    443.80/611.52 = 413.04/x
  3. Step 3: Cross multiply
    443.80x = 611.52 × 413.04
  4. Step 4: Simplify right side
    443.80x = 252,582.22
  5. Step 5: Solve for x
    x = 252,582.22/443.80
  6. Step 6: Final answer
    x = 569.14

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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.