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Finding the Fourth Proportional to 641.63, 960.66 and 332.82

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Solution

The fourth proportional to 641.63, 960.66 and 332.82 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.63 : 960.66 = 332.82 : x
  2. Step 2: Convert to fraction form
    641.63/960.66 = 332.82/x
  3. Step 3: Cross multiply
    641.63x = 960.66 × 332.82
  4. Step 4: Simplify right side
    641.63x = 319,726.86
  5. Step 5: Solve for x
    x = 319,726.86/641.63
  6. Step 6: Final answer
    x = 498.30

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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.