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Finding the Fourth Proportional to 480.96, 663.66 and 271.08

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Solution

The fourth proportional to 480.96, 663.66 and 271.08 is: 374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.96 : 663.66 = 271.08 : x
  2. Step 2: Convert to fraction form
    480.96/663.66 = 271.08/x
  3. Step 3: Cross multiply
    480.96x = 663.66 × 271.08
  4. Step 4: Simplify right side
    480.96x = 179,904.95
  5. Step 5: Solve for x
    x = 179,904.95/480.96
  6. Step 6: Final answer
    x = 374.05

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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.