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Finding the Fourth Proportional to 453.48, 680.34 and 413.16

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Solution

The fourth proportional to 453.48, 680.34 and 413.16 is: 619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.48 : 680.34 = 413.16 : x
  2. Step 2: Convert to fraction form
    453.48/680.34 = 413.16/x
  3. Step 3: Cross multiply
    453.48x = 680.34 × 413.16
  4. Step 4: Simplify right side
    453.48x = 281,089.27
  5. Step 5: Solve for x
    x = 281,089.27/453.48
  6. Step 6: Final answer
    x = 619.85

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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.