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Finding the Fourth Proportional to 657.56, 984.72 and 413.48

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Solution

The fourth proportional to 657.56, 984.72 and 413.48 is: 619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 984.72 = 413.48 : x
  2. Step 2: Convert to fraction form
    657.56/984.72 = 413.48/x
  3. Step 3: Cross multiply
    657.56x = 984.72 × 413.48
  4. Step 4: Simplify right side
    657.56x = 407,162.03
  5. Step 5: Solve for x
    x = 407,162.03/657.56
  6. Step 6: Final answer
    x = 619.20

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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.