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Finding the Fourth Proportional to 353.05, 485.99 and 305.76

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Solution

The fourth proportional to 353.05, 485.99 and 305.76 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.05 : 485.99 = 305.76 : x
  2. Step 2: Convert to fraction form
    353.05/485.99 = 305.76/x
  3. Step 3: Cross multiply
    353.05x = 485.99 × 305.76
  4. Step 4: Simplify right side
    353.05x = 148,597.74
  5. Step 5: Solve for x
    x = 148,597.74/353.05
  6. Step 6: Final answer
    x = 420.90

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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.