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Finding the Fourth Proportional to 511.25, 706.19 and 413.37

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Solution

The fourth proportional to 511.25, 706.19 and 413.37 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.25 : 706.19 = 413.37 : x
  2. Step 2: Convert to fraction form
    511.25/706.19 = 413.37/x
  3. Step 3: Cross multiply
    511.25x = 706.19 × 413.37
  4. Step 4: Simplify right side
    511.25x = 291,915.69
  5. Step 5: Solve for x
    x = 291,915.69/511.25
  6. Step 6: Final answer
    x = 570.99

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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.