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Finding the Fourth Proportional to 351.76, 485.20 and 305.16

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Solution

The fourth proportional to 351.76, 485.20 and 305.16 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.76 : 485.20 = 305.16 : x
  2. Step 2: Convert to fraction form
    351.76/485.20 = 305.16/x
  3. Step 3: Cross multiply
    351.76x = 485.20 × 305.16
  4. Step 4: Simplify right side
    351.76x = 148,063.63
  5. Step 5: Solve for x
    x = 148,063.63/351.76
  6. Step 6: Final answer
    x = 420.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.