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Finding the Fourth Proportional to 990.30, 1,486.17 and 413.34

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Solution

The fourth proportional to 990.30, 1,486.17 and 413.34 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.30 : 1,486.17 = 413.34 : x
  2. Step 2: Convert to fraction form
    990.30/1,486.17 = 413.34/x
  3. Step 3: Cross multiply
    990.30x = 1,486.17 × 413.34
  4. Step 4: Simplify right side
    990.30x = 614,293.51
  5. Step 5: Solve for x
    x = 614,293.51/990.30
  6. Step 6: Final answer
    x = 620.31

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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.