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Finding the Fourth Proportional to 641.02, 960.19 and 331.93

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Solution

The fourth proportional to 641.02, 960.19 and 331.93 is: 497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.02 : 960.19 = 331.93 : x
  2. Step 2: Convert to fraction form
    641.02/960.19 = 331.93/x
  3. Step 3: Cross multiply
    641.02x = 960.19 × 331.93
  4. Step 4: Simplify right side
    641.02x = 318,715.87
  5. Step 5: Solve for x
    x = 318,715.87/641.02
  6. Step 6: Final answer
    x = 497.20

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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.