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Finding the Fourth Proportional to 358.43, 536.82 and 297.68

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Solution

The fourth proportional to 358.43, 536.82 and 297.68 is: 445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 536.82 = 297.68 : x
  2. Step 2: Convert to fraction form
    358.43/536.82 = 297.68/x
  3. Step 3: Cross multiply
    358.43x = 536.82 × 297.68
  4. Step 4: Simplify right side
    358.43x = 159,796.78
  5. Step 5: Solve for x
    x = 159,796.78/358.43
  6. Step 6: Final answer
    x = 445.83

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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.