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Finding the Fourth Proportional to 481.15, 663.81 and 294.57

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Solution

The fourth proportional to 481.15, 663.81 and 294.57 is: 406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.15 : 663.81 = 294.57 : x
  2. Step 2: Convert to fraction form
    481.15/663.81 = 294.57/x
  3. Step 3: Cross multiply
    481.15x = 663.81 × 294.57
  4. Step 4: Simplify right side
    481.15x = 195,538.51
  5. Step 5: Solve for x
    x = 195,538.51/481.15
  6. Step 6: Final answer
    x = 406.40

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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.