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Finding the Fourth Proportional to 608.63, 913.31 and 413.76

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Solution

The fourth proportional to 608.63, 913.31 and 413.76 is: 620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.63 : 913.31 = 413.76 : x
  2. Step 2: Convert to fraction form
    608.63/913.31 = 413.76/x
  3. Step 3: Cross multiply
    608.63x = 913.31 × 413.76
  4. Step 4: Simplify right side
    608.63x = 377,888.92
  5. Step 5: Solve for x
    x = 377,888.92/608.63
  6. Step 6: Final answer
    x = 620.88

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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.