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Finding the Fourth Proportional to 413.10, 619.92 and 332.37

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Solution

The fourth proportional to 413.10, 619.92 and 332.37 is: 498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 619.92 = 332.37 : x
  2. Step 2: Convert to fraction form
    413.10/619.92 = 332.37/x
  3. Step 3: Cross multiply
    413.10x = 619.92 × 332.37
  4. Step 4: Simplify right side
    413.10x = 206,042.81
  5. Step 5: Solve for x
    x = 206,042.81/413.10
  6. Step 6: Final answer
    x = 498.77

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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.