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Finding the Fourth Proportional to 570.37, 855.57 and 205.20

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Solution

The fourth proportional to 570.37, 855.57 and 205.20 is: 307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.37 : 855.57 = 205.20 : x
  2. Step 2: Convert to fraction form
    570.37/855.57 = 205.20/x
  3. Step 3: Cross multiply
    570.37x = 855.57 × 205.20
  4. Step 4: Simplify right side
    570.37x = 175,558.69
  5. Step 5: Solve for x
    x = 175,558.69/570.37
  6. Step 6: Final answer
    x = 307.80

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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.