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Finding the Fourth Proportional to 629.92, 944.91 and 413.05

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Solution

The fourth proportional to 629.92, 944.91 and 413.05 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.92 : 944.91 = 413.05 : x
  2. Step 2: Convert to fraction form
    629.92/944.91 = 413.05/x
  3. Step 3: Cross multiply
    629.92x = 944.91 × 413.05
  4. Step 4: Simplify right side
    629.92x = 390,295.08
  5. Step 5: Solve for x
    x = 390,295.08/629.92
  6. Step 6: Final answer
    x = 619.59

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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.