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Finding the Fourth Proportional to 480.96, 721.49 and 156.24

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Solution

The fourth proportional to 480.96, 721.49 and 156.24 is: 234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.96 : 721.49 = 156.24 : x
  2. Step 2: Convert to fraction form
    480.96/721.49 = 156.24/x
  3. Step 3: Cross multiply
    480.96x = 721.49 × 156.24
  4. Step 4: Simplify right side
    480.96x = 112,724.82
  5. Step 5: Solve for x
    x = 112,724.82/480.96
  6. Step 6: Final answer
    x = 234.37

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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.