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Finding the Fourth Proportional to 512.32, 706.16 and 395.68

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Solution

The fourth proportional to 512.32, 706.16 and 395.68 is: 545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 706.16 = 395.68 : x
  2. Step 2: Convert to fraction form
    512.32/706.16 = 395.68/x
  3. Step 3: Cross multiply
    512.32x = 706.16 × 395.68
  4. Step 4: Simplify right side
    512.32x = 279,413.39
  5. Step 5: Solve for x
    x = 279,413.39/512.32
  6. Step 6: Final answer
    x = 545.39

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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.