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Finding the Fourth Proportional to 900.27, 1,350.50 and 413.64

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Solution

The fourth proportional to 900.27, 1,350.50 and 413.64 is: 620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.27 : 1,350.50 = 413.64 : x
  2. Step 2: Convert to fraction form
    900.27/1,350.50 = 413.64/x
  3. Step 3: Cross multiply
    900.27x = 1,350.50 × 413.64
  4. Step 4: Simplify right side
    900.27x = 558,618.75
  5. Step 5: Solve for x
    x = 558,618.75/900.27
  6. Step 6: Final answer
    x = 620.50

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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.