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Finding the Fourth Proportional to 413.68, 571.53 and 325.48

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Solution

The fourth proportional to 413.68, 571.53 and 325.48 is: 449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 571.53 = 325.48 : x
  2. Step 2: Convert to fraction form
    413.68/571.53 = 325.48/x
  3. Step 3: Cross multiply
    413.68x = 571.53 × 325.48
  4. Step 4: Simplify right side
    413.68x = 186,021.58
  5. Step 5: Solve for x
    x = 186,021.58/413.68
  6. Step 6: Final answer
    x = 449.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.