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Finding the Fourth Proportional to 570.69, 855.81 and 205.38

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Solution

The fourth proportional to 570.69, 855.81 and 205.38 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 855.81 = 205.38 : x
  2. Step 2: Convert to fraction form
    570.69/855.81 = 205.38/x
  3. Step 3: Cross multiply
    570.69x = 855.81 × 205.38
  4. Step 4: Simplify right side
    570.69x = 175,766.26
  5. Step 5: Solve for x
    x = 175,766.26/570.69
  6. Step 6: Final answer
    x = 307.99

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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.