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Finding the Fourth Proportional to 546.44, 753.24 and 413.69

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Solution

The fourth proportional to 546.44, 753.24 and 413.69 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.44 : 753.24 = 413.69 : x
  2. Step 2: Convert to fraction form
    546.44/753.24 = 413.69/x
  3. Step 3: Cross multiply
    546.44x = 753.24 × 413.69
  4. Step 4: Simplify right side
    546.44x = 311,604.09
  5. Step 5: Solve for x
    x = 311,604.09/546.44
  6. Step 6: Final answer
    x = 570.25

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