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Finding the Fourth Proportional to 511.70, 706.54 and 413.90

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Solution

The fourth proportional to 511.70, 706.54 and 413.90 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 706.54 = 413.90 : x
  2. Step 2: Convert to fraction form
    511.70/706.54 = 413.90/x
  3. Step 3: Cross multiply
    511.70x = 706.54 × 413.90
  4. Step 4: Simplify right side
    511.70x = 292,436.91
  5. Step 5: Solve for x
    x = 292,436.91/511.70
  6. Step 6: Final answer
    x = 571.50

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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.