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Finding the Fourth Proportional to 481.23, 663.84 and 294.57

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Solution

The fourth proportional to 481.23, 663.84 and 294.57 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.23 : 663.84 = 294.57 : x
  2. Step 2: Convert to fraction form
    481.23/663.84 = 294.57/x
  3. Step 3: Cross multiply
    481.23x = 663.84 × 294.57
  4. Step 4: Simplify right side
    481.23x = 195,547.35
  5. Step 5: Solve for x
    x = 195,547.35/481.23
  6. Step 6: Final answer
    x = 406.35

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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.