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Finding the Fourth Proportional to 486.32, 728.91 and 269.46

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Solution

The fourth proportional to 486.32, 728.91 and 269.46 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 728.91 = 269.46 : x
  2. Step 2: Convert to fraction form
    486.32/728.91 = 269.46/x
  3. Step 3: Cross multiply
    486.32x = 728.91 × 269.46
  4. Step 4: Simplify right side
    486.32x = 196,412.09
  5. Step 5: Solve for x
    x = 196,412.09/486.32
  6. Step 6: Final answer
    x = 403.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.