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Finding the Fourth Proportional to 641.64, 961.32 and 397.80

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Solution

The fourth proportional to 641.64, 961.32 and 397.80 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.64 : 961.32 = 397.80 : x
  2. Step 2: Convert to fraction form
    641.64/961.32 = 397.80/x
  3. Step 3: Cross multiply
    641.64x = 961.32 × 397.80
  4. Step 4: Simplify right side
    641.64x = 382,413.10
  5. Step 5: Solve for x
    x = 382,413.10/641.64
  6. Step 6: Final answer
    x = 595.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.