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Finding the Fourth Proportional to 498.77, 748.39 and 190.70

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Solution

The fourth proportional to 498.77, 748.39 and 190.70 is: 286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.77 : 748.39 = 190.70 : x
  2. Step 2: Convert to fraction form
    498.77/748.39 = 190.70/x
  3. Step 3: Cross multiply
    498.77x = 748.39 × 190.70
  4. Step 4: Simplify right side
    498.77x = 142,721.13
  5. Step 5: Solve for x
    x = 142,721.13/498.77
  6. Step 6: Final answer
    x = 286.14

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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.