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Finding the Fourth Proportional to 498.39, 747.45 and 190.19

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Solution

The fourth proportional to 498.39, 747.45 and 190.19 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.39 : 747.45 = 190.19 : x
  2. Step 2: Convert to fraction form
    498.39/747.45 = 190.19/x
  3. Step 3: Cross multiply
    498.39x = 747.45 × 190.19
  4. Step 4: Simplify right side
    498.39x = 142,153.78
  5. Step 5: Solve for x
    x = 142,153.78/498.39
  6. Step 6: Final answer
    x = 285.23

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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.