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Finding the Fourth Proportional to 443.80, 664.74 and 358.36

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Solution

The fourth proportional to 443.80, 664.74 and 358.36 is: 536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.80 : 664.74 = 358.36 : x
  2. Step 2: Convert to fraction form
    443.80/664.74 = 358.36/x
  3. Step 3: Cross multiply
    443.80x = 664.74 × 358.36
  4. Step 4: Simplify right side
    443.80x = 238,216.23
  5. Step 5: Solve for x
    x = 238,216.23/443.80
  6. Step 6: Final answer
    x = 536.76

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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.