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Finding the Fourth Proportional to 331.96, 499.72 and 302.20

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Solution

The fourth proportional to 331.96, 499.72 and 302.20 is: 454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 499.72 = 302.20 : x
  2. Step 2: Convert to fraction form
    331.96/499.72 = 302.20/x
  3. Step 3: Cross multiply
    331.96x = 499.72 × 302.20
  4. Step 4: Simplify right side
    331.96x = 151,015.38
  5. Step 5: Solve for x
    x = 151,015.38/331.96
  6. Step 6: Final answer
    x = 454.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.