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Finding the Fourth Proportional to 570.12, 854.84 and 199.75

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Solution

The fourth proportional to 570.12, 854.84 and 199.75 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 854.84 = 199.75 : x
  2. Step 2: Convert to fraction form
    570.12/854.84 = 199.75/x
  3. Step 3: Cross multiply
    570.12x = 854.84 × 199.75
  4. Step 4: Simplify right side
    570.12x = 170,754.29
  5. Step 5: Solve for x
    x = 170,754.29/570.12
  6. Step 6: Final answer
    x = 299.51

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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.