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Finding the Fourth Proportional to 496.56, 681.98 and 413.53

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Solution

The fourth proportional to 496.56, 681.98 and 413.53 is: 567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 681.98 = 413.53 : x
  2. Step 2: Convert to fraction form
    496.56/681.98 = 413.53/x
  3. Step 3: Cross multiply
    496.56x = 681.98 × 413.53
  4. Step 4: Simplify right side
    496.56x = 282,019.19
  5. Step 5: Solve for x
    x = 282,019.19/496.56
  6. Step 6: Final answer
    x = 567.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.