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Finding the Fourth Proportional to 498, 742.05 and 443.48

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Solution

The fourth proportional to 498, 742.05 and 443.48 is: 660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 742.05 = 443.48 : x
  2. Step 2: Convert to fraction form
    498/742.05 = 443.48/x
  3. Step 3: Cross multiply
    498x = 742.05 × 443.48
  4. Step 4: Simplify right side
    498x = 329,080.62
  5. Step 5: Solve for x
    x = 329,080.62/498
  6. Step 6: Final answer
    x = 660.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.