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Finding the Fourth Proportional to 511.92, 706.46 and 413.51

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Solution

The fourth proportional to 511.92, 706.46 and 413.51 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 706.46 = 413.51 : x
  2. Step 2: Convert to fraction form
    511.92/706.46 = 413.51/x
  3. Step 3: Cross multiply
    511.92x = 706.46 × 413.51
  4. Step 4: Simplify right side
    511.92x = 292,122.67
  5. Step 5: Solve for x
    x = 292,122.67/511.92
  6. Step 6: Final answer
    x = 570.64

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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.