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Finding the Fourth Proportional to 421.24, 628.24 and 413.54

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Solution

The fourth proportional to 421.24, 628.24 and 413.54 is: 616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 628.24 = 413.54 : x
  2. Step 2: Convert to fraction form
    421.24/628.24 = 413.54/x
  3. Step 3: Cross multiply
    421.24x = 628.24 × 413.54
  4. Step 4: Simplify right side
    421.24x = 259,802.37
  5. Step 5: Solve for x
    x = 259,802.37/421.24
  6. Step 6: Final answer
    x = 616.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.