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Finding the Fourth Proportional to 486.41, 728.80 and 269.53

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Solution

The fourth proportional to 486.41, 728.80 and 269.53 is: 403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.41 : 728.80 = 269.53 : x
  2. Step 2: Convert to fraction form
    486.41/728.80 = 269.53/x
  3. Step 3: Cross multiply
    486.41x = 728.80 × 269.53
  4. Step 4: Simplify right side
    486.41x = 196,430.97
  5. Step 5: Solve for x
    x = 196,430.97/486.41
  6. Step 6: Final answer
    x = 403.84

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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.