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Finding the Fourth Proportional to 570.66, 855.96 and 205.68

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Solution

The fourth proportional to 570.66, 855.96 and 205.68 is: 308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.66 : 855.96 = 205.68 : x
  2. Step 2: Convert to fraction form
    570.66/855.96 = 205.68/x
  3. Step 3: Cross multiply
    570.66x = 855.96 × 205.68
  4. Step 4: Simplify right side
    570.66x = 176,053.85
  5. Step 5: Solve for x
    x = 176,053.85/570.66
  6. Step 6: Final answer
    x = 308.51

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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.