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Finding the Fourth Proportional to 424.67, 584.25 and 413.19

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Solution

The fourth proportional to 424.67, 584.25 and 413.19 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.67 : 584.25 = 413.19 : x
  2. Step 2: Convert to fraction form
    424.67/584.25 = 413.19/x
  3. Step 3: Cross multiply
    424.67x = 584.25 × 413.19
  4. Step 4: Simplify right side
    424.67x = 241,406.26
  5. Step 5: Solve for x
    x = 241,406.26/424.67
  6. Step 6: Final answer
    x = 568.46

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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.