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Finding the Fourth Proportional to 492.84, 742.89 and 481.80

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Solution

The fourth proportional to 492.84, 742.89 and 481.80 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 742.89 = 481.80 : x
  2. Step 2: Convert to fraction form
    492.84/742.89 = 481.80/x
  3. Step 3: Cross multiply
    492.84x = 742.89 × 481.80
  4. Step 4: Simplify right side
    492.84x = 357,924.40
  5. Step 5: Solve for x
    x = 357,924.40/492.84
  6. Step 6: Final answer
    x = 726.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.