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Finding the Fourth Proportional to 380.23, 569.80 and 264.43

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Solution

The fourth proportional to 380.23, 569.80 and 264.43 is: 396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.23 : 569.80 = 264.43 : x
  2. Step 2: Convert to fraction form
    380.23/569.80 = 264.43/x
  3. Step 3: Cross multiply
    380.23x = 569.80 × 264.43
  4. Step 4: Simplify right side
    380.23x = 150,668.04
  5. Step 5: Solve for x
    x = 150,668.04/380.23
  6. Step 6: Final answer
    x = 396.26

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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.