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Finding the Fourth Proportional to 570.69, 856.11 and 205.41

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Solution

The fourth proportional to 570.69, 856.11 and 205.41 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 856.11 = 205.41 : x
  2. Step 2: Convert to fraction form
    570.69/856.11 = 205.41/x
  3. Step 3: Cross multiply
    570.69x = 856.11 × 205.41
  4. Step 4: Simplify right side
    570.69x = 175,853.56
  5. Step 5: Solve for x
    x = 175,853.56/570.69
  6. Step 6: Final answer
    x = 308.14

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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.