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Finding the Fourth Proportional to 428.73, 591.67 and 413.24

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Solution

The fourth proportional to 428.73, 591.67 and 413.24 is: 570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.73 : 591.67 = 413.24 : x
  2. Step 2: Convert to fraction form
    428.73/591.67 = 413.24/x
  3. Step 3: Cross multiply
    428.73x = 591.67 × 413.24
  4. Step 4: Simplify right side
    428.73x = 244,499.27
  5. Step 5: Solve for x
    x = 244,499.27/428.73
  6. Step 6: Final answer
    x = 570.29

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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.