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Finding the Fourth Proportional to 454.54, 681.90 and 413.32

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Solution

The fourth proportional to 454.54, 681.90 and 413.32 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.54 : 681.90 = 413.32 : x
  2. Step 2: Convert to fraction form
    454.54/681.90 = 413.32/x
  3. Step 3: Cross multiply
    454.54x = 681.90 × 413.32
  4. Step 4: Simplify right side
    454.54x = 281,842.91
  5. Step 5: Solve for x
    x = 281,842.91/454.54
  6. Step 6: Final answer
    x = 620.06

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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.