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Finding the Fourth Proportional to 380.03, 568.82 and 270.06

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Solution

The fourth proportional to 380.03, 568.82 and 270.06 is: 404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.03 : 568.82 = 270.06 : x
  2. Step 2: Convert to fraction form
    380.03/568.82 = 270.06/x
  3. Step 3: Cross multiply
    380.03x = 568.82 × 270.06
  4. Step 4: Simplify right side
    380.03x = 153,614.18
  5. Step 5: Solve for x
    x = 153,614.18/380.03
  6. Step 6: Final answer
    x = 404.22

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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.