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Finding the Fourth Proportional to 512.52, 707.34 and 413.96

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Solution

The fourth proportional to 512.52, 707.34 and 413.96 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 707.34 = 413.96 : x
  2. Step 2: Convert to fraction form
    512.52/707.34 = 413.96/x
  3. Step 3: Cross multiply
    512.52x = 707.34 × 413.96
  4. Step 4: Simplify right side
    512.52x = 292,810.47
  5. Step 5: Solve for x
    x = 292,810.47/512.52
  6. Step 6: Final answer
    x = 571.32

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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.