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Finding the Fourth Proportional to 641.15, 961.11 and 316.16

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Solution

The fourth proportional to 641.15, 961.11 and 316.16 is: 473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.15 : 961.11 = 316.16 : x
  2. Step 2: Convert to fraction form
    641.15/961.11 = 316.16/x
  3. Step 3: Cross multiply
    641.15x = 961.11 × 316.16
  4. Step 4: Simplify right side
    641.15x = 303,859.73
  5. Step 5: Solve for x
    x = 303,859.73/641.15
  6. Step 6: Final answer
    x = 473.93

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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.