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Finding the Fourth Proportional to 328.56, 490.64 and 305.88

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Solution

The fourth proportional to 328.56, 490.64 and 305.88 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.56 : 490.64 = 305.88 : x
  2. Step 2: Convert to fraction form
    328.56/490.64 = 305.88/x
  3. Step 3: Cross multiply
    328.56x = 490.64 × 305.88
  4. Step 4: Simplify right side
    328.56x = 150,076.96
  5. Step 5: Solve for x
    x = 150,076.96/328.56
  6. Step 6: Final answer
    x = 456.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.