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Finding the Fourth Proportional to 570.30, 854.84 and 241.43

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Solution

The fourth proportional to 570.30, 854.84 and 241.43 is: 361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.30 : 854.84 = 241.43 : x
  2. Step 2: Convert to fraction form
    570.30/854.84 = 241.43/x
  3. Step 3: Cross multiply
    570.30x = 854.84 × 241.43
  4. Step 4: Simplify right side
    570.30x = 206,378.54
  5. Step 5: Solve for x
    x = 206,378.54/570.30
  6. Step 6: Final answer
    x = 361.88

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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.