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Finding the Fourth Proportional to 380.70, 568.62 and 311.04

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Solution

The fourth proportional to 380.70, 568.62 and 311.04 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 568.62 = 311.04 : x
  2. Step 2: Convert to fraction form
    380.70/568.62 = 311.04/x
  3. Step 3: Cross multiply
    380.70x = 568.62 × 311.04
  4. Step 4: Simplify right side
    380.70x = 176,863.56
  5. Step 5: Solve for x
    x = 176,863.56/380.70
  6. Step 6: Final answer
    x = 464.57

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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.