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Finding the Fourth Proportional to 380.31, 570.66 and 379.14

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Solution

The fourth proportional to 380.31, 570.66 and 379.14 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.31 : 570.66 = 379.14 : x
  2. Step 2: Convert to fraction form
    380.31/570.66 = 379.14/x
  3. Step 3: Cross multiply
    380.31x = 570.66 × 379.14
  4. Step 4: Simplify right side
    380.31x = 216,360.03
  5. Step 5: Solve for x
    x = 216,360.03/380.31
  6. Step 6: Final answer
    x = 568.90

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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.