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Finding the Fourth Proportional to 498.24, 743.52 and 443.70

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Solution

The fourth proportional to 498.24, 743.52 and 443.70 is: 662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 743.52 = 443.70 : x
  2. Step 2: Convert to fraction form
    498.24/743.52 = 443.70/x
  3. Step 3: Cross multiply
    498.24x = 743.52 × 443.70
  4. Step 4: Simplify right side
    498.24x = 329,899.82
  5. Step 5: Solve for x
    x = 329,899.82/498.24
  6. Step 6: Final answer
    x = 662.13

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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.