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Finding the Fourth Proportional to 659.97, 990.27 and 413.10

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Solution

The fourth proportional to 659.97, 990.27 and 413.10 is: 619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.97 : 990.27 = 413.10 : x
  2. Step 2: Convert to fraction form
    659.97/990.27 = 413.10/x
  3. Step 3: Cross multiply
    659.97x = 990.27 × 413.10
  4. Step 4: Simplify right side
    659.97x = 409,080.54
  5. Step 5: Solve for x
    x = 409,080.54/659.97
  6. Step 6: Final answer
    x = 619.85

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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.