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Finding the Fourth Proportional to 498.84, 748.26 and 190.78

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Solution

The fourth proportional to 498.84, 748.26 and 190.78 is: 286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 748.26 = 190.78 : x
  2. Step 2: Convert to fraction form
    498.84/748.26 = 190.78/x
  3. Step 3: Cross multiply
    498.84x = 748.26 × 190.78
  4. Step 4: Simplify right side
    498.84x = 142,753.04
  5. Step 5: Solve for x
    x = 142,753.04/498.84
  6. Step 6: Final answer
    x = 286.17

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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.